To determine The linear equation of the function and use it to answer the given question, and identify the independent and dependent variables, also discuss whether a linear model is reasonable for the situation described. Explanation Given: The following situation can be modified by linear functions. In each case, write an equation for the linear function and use it to answer the given question. Be sure you clearly identify the independent and dependent variables. Then briefly discuss whether a linear model is reasonable for the situation described. “The price of a particular model car is $ 18 , 000 today and rises with time at a constant rate of $ 900 per year. How much will a new car cost in 3.5 years.” The given description is a linear model as it can be represented in the form y = m x + b as y = 900 x + 18000 where x represent the time (number of years) which is the independent variable, y represents the price of the particular model car (in dollars) which is dependent variable, m represents the slope (rise of cost of car per year) which equals $ 900 and the y − intercept represents the price of a particular model car and is equal to $ 18 , 000. Formula used: Slope-Intercept form of a line equation: y = m x + b Description y = m x + b Step 1: Find the price of a particular model car in 3...

Using And Understanding Mathematics: A Quantitative Reasoning Approach Plus Mylab Math With Integrated Review And Student Activity Manual Worksheets (7th Edition)

7th Edition

ISBN: 9780135168219

Author: Jeffrey O. Bennett, William L. Briggs

Publisher: PEARSON

See similar textbooks

Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

Videos

Question

Chapter 9.B, Problem 23E

To determine

The linear equation of the function and use it to answer the given question, and identify the independent and dependent variables, also discuss whether a linear model is reasonable for the situation described.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.B, Problem 22E

Chapter 9.B, Problem 24E

Students have asked these similar questions

4. Find the general solution and the definite solution for the following differential equations: (a) +10y=15, y(0) = 0; (b) 2 + 4y = 6, y(0) =

5) For each function represented by an equation, make a table and plot the corresponding points to sketch the graph of the function. (a) y = 75 ()* 220 X y 200- -2 180 160 -1 140 0 120 100 1 60 80 2 3 4 x (b) y = 20 ()* 1 60 40 20 20 0 2 3 65- -1 X y 60 -2 55- 50 45 44 40 0 35- 30 1 25 2 20 20 15 3 10 5 LO 4 3-2 T -1 0 5- 4- -3- 2-

5. Find the solution to each of the following by using an appropriate formula developed in the lecture slides: (a) + 3y = 2, y(0) = 4; (b) dy - 7y = 7, y(0) = 7; (c) 3d+6y= 5, y(0) = 0

Chapter 9 Solutions

Using And Understanding Mathematics: A Quantitative Reasoning Approach Plus Mylab Math With Integrated Review And Student Activity Manual Worksheets (7th Edition)

Ch. 9.A - Prob. 1QQ Ch. 9.A - Prob. 2QQ Ch. 9.A - Prob. 3QQ Ch. 9.A - Prob. 4QQ Ch. 9.A - 5. When you nuke a graph of the function \[z =...Ch. 9.A - 6. The values taken on by the dependent variable...Ch. 9.A - 7. Consider a function that describes how a...Ch. 9.A - Prob. 8QQ Ch. 9.A - Prob. 9QQ Ch. 9.A - 10. Suppose that two groups of scientists have...

Ch. 9.A - Prob. 1E Ch. 9.A - Prob. 2E Ch. 9.A - Prob. 3E Ch. 9.A - Prob. 4E Ch. 9.A - Prob. 5E Ch. 9.A - Prob. 6E Ch. 9.A - Prob. 7E Ch. 9.A - 8. My mathematical model fits the data perfectly,...Ch. 9.A - Coordinate Plane Review. Use the skills covered in...Ch. 9.A - 9-10: Coordinate Plane Review. Use the skills...Ch. 9.A - Identifying Functions. In each of the following...Ch. 9.A - Prob. 12E Ch. 9.A - Prob. 13E Ch. 9.A - Identifying Functions. In each of the following...Ch. 9.A - Prob. 15E Ch. 9.A - Prob. 16E Ch. 9.A - Related Quantities. Write a short statement that...Ch. 9.A - Prob. 18E Ch. 9.A - Prob. 19E Ch. 9.A - Related Quantities. Write a short statement that...Ch. 9.A - Related Quantities. Write a short statement that...Ch. 9.A - 15-22: Related Quantities. Write a short statement...Ch. 9.A - 23. Pressure Function. Study Figure 9.6. Use the...Ch. 9.A - Prob. 24E Ch. 9.A - Prob. 25E Ch. 9.A - Prob. 26E Ch. 9.A - 25-26: Functions from Graphs. Consider the graphs...Ch. 9.A - Prob. 28E Ch. 9.A - 27-30: Functions from Data Tables. Each of the...Ch. 9.A - Prob. 30E Ch. 9.A - Prob. 31E Ch. 9.A - Prob. 32E Ch. 9.A - Rough Sketches of Functions. For each function,...Ch. 9.A - 31-42: Rough Sketches of Functions. For each...Ch. 9.A - Rough Sketches of Functions. For each function,...Ch. 9.A - Rough Sketches of Functions. For each function,...Ch. 9.A - Rough Sketches of Functions. For each function,...Ch. 9.A - Rough Sketches of Functions. For each function,...Ch. 9.A - Prob. 39E Ch. 9.A - Prob. 40E Ch. 9.A - Rough Sketches of Functions. For each function,...Ch. 9.A - Prob. 42E Ch. 9.A - Everyday Models. Describe three different models...Ch. 9.A - 44. Functions and Variables in the News. Identity...Ch. 9.A - Prob. 45E Ch. 9.A - 46. Variable Tables. Find data on the Web (or two...Ch. 9.B - A linear function is characterized by an...Ch. 9.B - You have a graph of a linear function. To...Ch. 9.B - The graph of a linear function is sloping downward...Ch. 9.B - Suppose that Figure 9. 11 is an accurate...Ch. 9.B - Which town would have the steepest slope on a...Ch. 9.B - Consider the function price = $100 - ( $3/yr) ×...Ch. 9.B - Consider the demand function given in Example 6,...Ch. 9.B - A line intersects the y-axis at a value of y = 7...Ch. 9.B - Consider a line with equation \[y = 12x - 3\]....Ch. 9.B - Charlie picks apples in the orchard at a constant...Ch. 9.B - What does it mean to say that a function is...Ch. 9.B - Prob. 2E Ch. 9.B - How is the rate of change of a linear function...Ch. 9.B - 4. How do you find the change in the dependent...Ch. 9.B - 3. Describe the general equation for a linear...Ch. 9.B - Prob. 6E Ch. 9.B - When I graphed the linear function, it turned out...Ch. 9.B - I graphed two linear functions, and the one with...Ch. 9.B - My freeway speed is the rate of change in my...Ch. 9.B - It's possible to make a linear model from any two...Ch. 9.B - Linear Functions. Consider the following graphs....Ch. 9.B - 11-16: Linear Functions. Consider the following...Ch. 9.B - 11-16: Linear Functions. Consider the following...Ch. 9.B - Linear Functions. Consider the following graphs a....Ch. 9.B - 11-16: Linear Functions. Consider the following...Ch. 9.B - 11-16: Linear Functions. Consider the following...Ch. 9.B - 17-22: Rate of Change Rule. The following...Ch. 9.B - 17-22: Rate of Change Rule. The following...Ch. 9.B - 17-22: Rate of Change Rule. The following...Ch. 9.B - Prob. 20E Ch. 9.B - Prob. 21E Ch. 9.B - Prob. 22E Ch. 9.B - 23-20: Linear Equations. The following situations...Ch. 9.B - Prob. 24E Ch. 9.B - 23-20: Linear Equations. The following situations...Ch. 9.B - Prob. 26E Ch. 9.B - 23-28: Linear Equations. The following situations...Ch. 9.B - 23-28: linear Equations. The following situations...Ch. 9.B - 29-34: Equations from Two Data Points. Create the...Ch. 9.B - 29-34: Equations from Two Data Points. Create the...Ch. 9.B - 29-34: Equations from Two Data Points. Create the...Ch. 9.B - Equations from Two Data Points. Create the...Ch. 9.B - 29-34: Equations from Two Data Points. Create the...Ch. 9.B - Prob. 34E Ch. 9.B - Prob. 35E Ch. 9.B - Prob. 36E Ch. 9.B - Prob. 37E Ch. 9.B - Prob. 38E Ch. 9.B - Prob. 39E Ch. 9.B - 35-42: Algebraic Linear Equations. For the...Ch. 9.B - 35-42: Algebraic Linear Equations. For the...Ch. 9.B - Algebraic Linear Equations. For the following...Ch. 9.B - Linear Graphs. The following situations can be...Ch. 9.B - Prob. 44E Ch. 9.B - Linear Graphs. The following situations can be...Ch. 9.B - Prob. 46E Ch. 9.B - Prob. 47E Ch. 9.B - Prob. 48E Ch. 9.B - Wildlife Management. A common technique for...Ch. 9.B - Linear Models. Describe at least two situations...Ch. 9.B - 51. Nonlinear Models. Describe at least one...Ch. 9.B - Alcohol Metabolism. Most drugs are eliminated from...Ch. 9.B - Properly Depreciation. Go to the IRS website, and...Ch. 9.C - Which statement is true about exponential growth?...Ch. 9.C - A city's population starts at 100,000 people and...Ch. 9.C - A city’s population suns at 100,000 people and...Ch. 9.C - India’s 2017 population was estimated to be 1.34...Ch. 9.C - Suppose that inflation causes the value of a...Ch. 9.C - Figure 9.18(b) shows the graph of an exponentially...Ch. 9.C - Polly received a large dose of an antibiotic and...Ch. 9.C - The half-life of carbon-14 is 5700 years, and...Ch. 9.C - Radioactive uranium-235 has a half-life of about...Ch. 9.C - Compare the list two forms of the exponential...Ch. 9.C - Prob. 1E Ch. 9.C - Prob. 2E Ch. 9.C - 3. Describe how you tan graph an exponential...Ch. 9.C - 4. Describe the meaning of each of the three forms...Ch. 9.C - Prob. 5E Ch. 9.C - Prob. 6E Ch. 9.C - After 100 years, a population growing at a rate of...Ch. 9.C - When 1 used the exponential function in model the...Ch. 9.C - We can use the hurt that radioactive materials...Ch. 9.C - I used the exponential function to figure how much...Ch. 9.C - Review of logarithms. Use the skills coveted in...Ch. 9.C - Prob. 12E Ch. 9.C - Prob. 13E Ch. 9.C - Prob. 14E Ch. 9.C - Review of logarithms. Use the skills coveted in...Ch. 9.C - 11-26: Review of logarithms. Use the skills...Ch. 9.C - 11-26: Review of logarithms. Use the skills...Ch. 9.C - 11-26: Review of logarithms. Use the skills...Ch. 9.C - Review of logarithms. Use the skills coveted in...Ch. 9.C - Prob. 20E Ch. 9.C - Prob. 21E Ch. 9.C - Prob. 22E Ch. 9.C - Prob. 23E Ch. 9.C - Prob. 24E Ch. 9.C - Prob. 25E Ch. 9.C - Prob. 26E Ch. 9.C - 27-34. Exponential growth and decay laws. Consider...Ch. 9.C - 27-34: Exponential growth and decay laws. Consider...Ch. 9.C - . Exponential growth and decay laws. Consider the...Ch. 9.C - . Exponential growth and decay laws. Consider the...Ch. 9.C - . Exponential growth and decay laws. Consider the...Ch. 9.C - Prob. 32E Ch. 9.C - Prob. 33E Ch. 9.C - . Exponential growth and decay laws. Consider the...Ch. 9.C - Annual vs. Monthly Inflation. Answer the following...Ch. 9.C - Annual vs. Monthly Inflation. Answer the following...Ch. 9.C - Hyperinflation in Germany. In 1923, Germany...Ch. 9.C - Prob. 38E Ch. 9.C - 39. Extinction by Poaching. Suppose that poaching...Ch. 9.C - World Oil Production. Annual world oil production...Ch. 9.C - Prob. 41E Ch. 9.C - Aspirin Metabolism. Assume that for the average...Ch. 9.C - Prob. 43E Ch. 9.C - Prob. 44E Ch. 9.C - Prob. 45E Ch. 9.C - Metropolitan Population Growth. A small city had a...Ch. 9.C - Rising Home Prices. In 2000, the median home price...Ch. 9.C - Periodic Drug Doses. It is common to take a drug...Ch. 9.C - 49. Increasing Atmospheric Carbon Dioxide. Direct...Ch. 9.C - Prob. 50E Ch. 9.C - Inflation Rate in the News. Find a news report...Ch. 9.C - Prob. 52E Ch. 9.C - Radiometric Dating in the News. Find a news report...Ch. 9.C - Prob. 54E Ch. 9.C - Prob. 55E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.