College Algebra
College Algebra
1st Edition
ISBN: 9781938168383
Author: Jay Abramson
Publisher: OpenStax
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Transformation of Graphs
The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
Exponential Functions
The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, c…
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Chapter 4, Problem 27PT

For the following exercises, use the graph in Figure 3, showing the profit, y, in thousands of dollars, of a company in a given year, x, where x represents years since 1980.

Chapter 4, Problem 27PT, For the following exercises, use the graph in Figure 3, showing the profit, y, in thousands of , example 1

27. Draw a best-fit line for the plotted data.

Chapter 4, Problem 27PT, For the following exercises, use the graph in Figure 3, showing the profit, y, in thousands of , example 2

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what should you put for the output range?
Refine your table by calculating values of x that go up in increments of 100 between these two numbers. You can refine even further if you wish. x, number of books sold Income with publisher A, ($) A = Income with publisher B, ($) B = What is your best estimate for the number of books sold that make the plans equal? Use the numerical data above to graphically compare the incomes. Construct a graph to model both publishing plans on the same Cartesian Plane and attach it to this tutorial (you may use Excel or DESMOS if you wish). Which quantity is to plotted on which axis? Properly label and title your graph. What is your best estimate from your graph? Now solve the problem algebraically. You are solving a system of equations by substitution. Part C. Comment on the Process and Interpret the Results Are the solutions you obtained numerically, graphically and algebraically consistent? What factors must the students consider when deciding between these two offers?
50 46 40 30 20 E 20 10 0 I 2 3 5 Number of Catalogs (in thousands) sas (in thousands)

Chapter 4 Solutions

College Algebra

Ch. 4.1 - If f(x) is a linear function, and (2,3) and (0,4)...Ch. 4.1 - The population of a small town increased from...Ch. 4.1 - If f(x) is a linear function, with f(2)=11, and...Ch. 4.1 - A new plant food was introduced to a young tree to...Ch. 4.1 - Graph f(x)=34x+6 by plotting points.Ch. 4.1 - Find a point on the graph we drew in Example 12...Ch. 4.1 - Graph f(x)=4+2x, using transformations.Ch. 4.1 - Find the x-intercept of f(x)=14x4.Ch. 4.1 - Given the function h(x)=2x4, write an equation for...Ch. 4.1 - A line passes through the points, (2,15) and...
Ch. 4.1 - Terry is skiing down a steep hill. Terry’s...Ch. 4.1 - Jessica is walking home from a friend’s...Ch. 4.1 - A boat is 100 miles away from the marina,...Ch. 4.1 - If the graphs of two linear functions...Ch. 4.1 - Ifa horizontal line has the equation f(x)=a and...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, find the x- and...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, write the equation of...Ch. 4.1 - For the following exercises, write the equation of...Ch. 4.1 - For the following exercises, write the equation of...Ch. 4.1 - For the following exercises, write the equation of...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - Find the value ofx if a linear function goes...Ch. 4.1 - Find the value ofy if a linear function goes...Ch. 4.1 - Find the equation of the line that passes...Ch. 4.1 - Find the equation of the line that passes...Ch. 4.1 - Find the equation of the line that passes...Ch. 4.1 - Find the equation of the line parallel to the line...Ch. 4.1 - Find the equation of the line perpendicular to the...Ch. 4.1 - For the following exercises, use the functions...Ch. 4.1 - For the following exercises, use the functions...Ch. 4.1 - At noon, a barista notices that she has 20 in...Ch. 4.1 - A gym membership with two personal...Ch. 4.1 - A clothing business finds there is a...Ch. 4.1 - A phone company charges for service accordingto...Ch. 4.1 - A farmer finds there is a linear relationship...Ch. 4.1 - A city’s population in the year 1960 was...Ch. 4.1 - A town’s population has been growing linearly.In...Ch. 4.1 - Suppose that average annual income (in dollars)...Ch. 4.1 - When temperature is 0 degrees Celsius,...Ch. 4.2 - A company sells doughnuts. They incur a fixed cost...Ch. 4.2 - A city’s population has been growing linearly. In...Ch. 4.2 - Try it #3 There is a straight road leading from...Ch. 4.2 - Explain how to find the input variable in a word...Ch. 4.2 - Explain how to find the output variable in a wordp...Ch. 4.2 - Explain how to interpret the initial value in a...Ch. 4.2 - Explain how to determine the slope in a...Ch. 4.2 - Find the area of a parallelogram bounded by...Ch. 4.2 - Find the area of a triangle bounded by the...Ch. 4.2 - Find the area of a triangle bounded by the...Ch. 4.2 - Find the area of a parallelogram bounded by...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - NUMERIC For the following exercises, use the...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - In 2004, a school population was 1,001. By 2008the...Ch. 4.2 - In 2003, a town’s population was 1,431. By 2007the...Ch. 4.2 - A phone company has a monthly cellular plan where...Ch. 4.2 - A phone company has a monthly cellular data plan...Ch. 4.2 - In 1991, the moose population in a park...Ch. 4.2 - In 2003, the owl population in a park was measured...Ch. 4.2 - The Federal Helium Reserve held about 16...Ch. 4.2 - Suppose the world’s oil reserves in 2014 are 1,820...Ch. 4.2 - You are choosing between two different prepaid...Ch. 4.2 - You are choosing between two different...Ch. 4.2 - When hired at a new job selling jewelry, you...Ch. 4.2 - When hired at a new job selling electronics, you...Ch. 4.2 - When hired at a new job selling electronics, you...Ch. 4.2 - When hired at a new job selling electronics, you...Ch. 4.3 - According to the data from Table 1, what...Ch. 4.3 - Use the model we created using technology in...Ch. 4.3 - Describe what it means if there is a model...Ch. 4.3 - What is interpolation when using a linear model?Ch. 4.3 - What is extrapolation when using a linear model?Ch. 4.3 - Explain the difference between a positive and...Ch. 4.3 - Explain how to interpret the absolute value of...Ch. 4.3 - A regression was run to determine whether there...Ch. 4.3 - A regression was run to determine whether there is...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, match each...Ch. 4.3 - For the following exercises, match each...Ch. 4.3 - For the following exercises, match each...Ch. 4.3 - For the following exercises, match each...Ch. 4.3 - For the following exercises, draw a best-fit line...Ch. 4.3 - For the following exercises, draw a best-fit line...Ch. 4.3 - For the following exercises, draw a best-fit line...Ch. 4.3 - For the following exercises, draw a best-fit line...Ch. 4.3 - The U.S. Census tracks the percentage of persons...Ch. 4.3 - The US. import of wine (in hectoliters) for...Ch. 4.3 - Table 6 shows the year and the number ofpeople...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - Graph f(x)=0.5x+10. Pick a set of 5 orderedpairs...Ch. 4.3 - Graph f(x)=2x10. Picka set of5 ordered pairs using...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4 - Determine whether the algebraic equation is...Ch. 4 - Determine whether the algebraic equation is...Ch. 4 - Determine whether the function is increasing...Ch. 4 - Determine whether the function is increasing...Ch. 4 - Given each set of information, find a linear...Ch. 4 - Given each set of information, find a linear...Ch. 4 - Find the slope of the line shown in the graph.Ch. 4 - Find the slope of the line shown in the graph.Ch. 4 - Write an equation in slope-intercept form for the...Ch. 4 - Does the following table represent a linear...Ch. 4 - Does the following table represent a linear...Ch. 4 - On June 1st, a company has $4,000,000 profit.If...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, find the x-and...Ch. 4 - For the following exercises, find the x-and...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - Find the area of a triangle bounded by the y-axis,...Ch. 4 - A town’s population increases at a constant rate....Ch. 4 - The number of people afflicted with the common...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercise, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - Draw a scatter plot for the data in Table 2. Then...Ch. 4 - Draw a scatter plot for the data in Table 3. If we...Ch. 4 - Eight students were asked to estimate their score...Ch. 4 - Draw a best-fit line for the plotted data.Ch. 4 - For the following exercises, consider the data in...Ch. 4 - For the following exercises, consider the data in...Ch. 4 - For the following exercises, consider the data in...Ch. 4 - For the following exercises, consider the data in...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - Determine whether the following algebraic...Ch. 4 - Determine whether the following function...Ch. 4 - Determine whether the following function...Ch. 4 - Given the following set of information, find a...Ch. 4 - Given the following set of information. find a...Ch. 4 - Find the slope ofthe line in Figure l.Ch. 4 - Write an equation for line in Figure 2.Ch. 4 - Does Table 1 represent a linear function? If so,...Ch. 4 - Does Table 2 represent a linear function? If so,...Ch. 4 - At 6 am, an online company has sold 120 items that...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use Table 4 which...Ch. 4 - For the following exercises, use Table 4 which...Ch. 4 - For the following exercises, use Table 4 which...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...

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