Precalculus Enhanced with Graphing Utilities Plus MyLab Math with Pearson eText - Access Card Package (7th Edition) (Sullivan & Sullivan Precalculus Titles)
7th Edition
ISBN: 9780134265148
Author: Michael Sullivan, Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 3.1, Problem 52MP
Developing a Linear Model from Data The following data represent the various combinations of soda and hot dogs that Yolanda can buy at a baseball game with .
a. Plot the ordered pairs in a Cartesian plane.
b. Show that the number of hot dogs purchased is a linear function of the number of sodas purchased .
c. Determine the linear function that describes the relation between and .
d. What is the implied domain of the linear function?
e. Graph the linear function in the Cartesian plane drawn in part (a).
f. Interpret the slope.
g. Interpret the values of the intercepts.
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Chapter 3 Solutions
Precalculus Enhanced with Graphing Utilities Plus MyLab Math with Pearson eText - Access Card Package (7th Edition) (Sullivan & Sullivan Precalculus Titles)
Ch. 3.1 - Graph y=2x3 . (pp. 32-35)Ch. 3.1 - Find the slope of the line joining the points (...Ch. 3.1 - Find the average rate of change of f(x)=3 x 2 2 ,...Ch. 3.1 - Solve: 6x900=15x+2850 . (pp. A44-A46)Ch. 3.1 - If f( x )= x 2 4 , find f( 2 ) . (pp. 60-62)Ch. 3.1 - True or False The graph of the function f( x )= x...Ch. 3.1 - For the graph of the linear function f( x )=mx+b ,...Ch. 3.1 - If the slope m of the graph of a linear function...Ch. 3.1 - True or False The slope of a nonvertical line is...Ch. 3.1 - True or False The average rate of change of f( x...
Ch. 3.1 - What is the only type of function that has a...Ch. 3.1 - A car has 12,500 miles on its odometer. Say the...Ch. 3.1 - In Problems 13-20, a linear function is given. a....Ch. 3.1 - In Problems 13-20, a linear function is given. a....Ch. 3.1 - In Problems 13-20, a linear function is given. a....Ch. 3.1 - In Problems 13-20, a linear function is given. a....Ch. 3.1 - In Problems 13-20, a linear function is given. a....Ch. 3.1 - In Problems 13-20, a linear function is given. a....Ch. 3.1 - In Problems 13-20, a linear function is given. a....Ch. 3.1 - In Problems 13-20, a linear function is given. a....Ch. 3.1 - In Problems 21-28, determine whether the given...Ch. 3.1 - In Problems 21-28, determine whether the given...Ch. 3.1 - In Problems 21-28, determine whether the given...Ch. 3.1 - In Problems 21-28, determine whether the given...Ch. 3.1 - In Problems 21-28, determine whether the given...Ch. 3.1 - In Problems 21-28, determine whether the given...Ch. 3.1 - In Problems 21-28, determine whether the given...Ch. 3.1 - In Problems 21-28, determine whether the given...Ch. 3.1 - Suppose that f( x )=4x1 and g(x)=2x+5 . a. Solve...Ch. 3.1 - Suppose that f( x )=3x+5 and g(x)=2x+15 . a. Solve...Ch. 3.1 - In parts (a) - (f), use the following figure. a....Ch. 3.1 - In parts (a) - (f), use the following figure. a....Ch. 3.1 - In parts (a) and (b), use the following figure. a....Ch. 3.1 - In parts (a) and (b), use the following figure. a....Ch. 3.1 - In parts (a) and (b), use the following figure. a....Ch. 3.1 - In parts (a) and (b), use the following figure. a....Ch. 3.1 - Car Rentals The cost C , in dollars, of a one-day...Ch. 3.1 - Phone Charges The monthly cost C , in dollars, for...Ch. 3.1 - Supply and Demand Suppose that the quantity...Ch. 3.1 - Supply and Demand Suppose that the quantity...Ch. 3.1 - Taxes The function T( x )=0.15(x9225)+922.50...Ch. 3.1 - Competitive Balance Tax In 2011, major league...Ch. 3.1 - The point at which a company’s profits equal...Ch. 3.1 - The point at which a company’s profits equal...Ch. 3.1 - Straight-line Depreciation Suppose that a company...Ch. 3.1 - Straight-line Depreciation Suppose that a company...Ch. 3.1 - Cost Function The simplest cost function is the...Ch. 3.1 - Cost Function Refer to Problem 47. Suppose that...Ch. 3.1 - Truck Rentals A truck rental company rents a truck...Ch. 3.1 - International Calling A cell phone company offers...Ch. 3.1 - Developing a Linear Model from Data How many songs...Ch. 3.1 - Developing a Linear Model from Data The following...Ch. 3.1 - Which of the following functions might have the...Ch. 3.1 - Which of the following functions might have the...Ch. 3.1 - Under what circumstances is a linear function f( x...Ch. 3.1 - Explain how the graph of f( x )=mx+b can be used...Ch. 3.1 - Problems 57-60 are based on material teamed...Ch. 3.1 - Problems 57-60 are based on material teamed...Ch. 3.1 - Problems 57-60 are based on material teamed...Ch. 3.1 - Problems 57-60 are based on material teamed...Ch. 3.2 - Plot the points ( 1,5 ),( 2,6 ),( 3,9 ),( 1,12 )...Ch. 3.2 - Find an equation of the line containing the points...Ch. 3.2 - A _____________ is used to help us to see what...Ch. 3.2 - If the Independent variable in a line of best fit...Ch. 3.2 - In Problems 5-10, examine the scatter diagram and...Ch. 3.2 - In Problems 5-10, examine the scatter diagram and...Ch. 3.2 - In Problems 5-10, examine the scatter diagram and...Ch. 3.2 - In Problems 5-10, examine the scatter diagram and...Ch. 3.2 - In Problems 5-10, examine the scatter diagram and...Ch. 3.2 - In Problems 5-10, examine the scatter diagram and...Ch. 3.2 - In Problems 11-16, (a) Draw a scatter diagram. (b)...Ch. 3.2 - In Problems 11-16, (a) Draw a scatter diagram. (b)...Ch. 3.2 - In Problems 11-16, (a) Draw a scatter diagram. (b)...Ch. 3.2 - In Problems 11-16, (a) Draw a scatter diagram. (b)...Ch. 3.2 - In Problems 11-16, (a) Draw a scatter diagram. (b)...Ch. 3.2 - In Problems 11-16, (a) Draw a scatter diagram. (b)...Ch. 3.2 - Candy The following data represent the weight (in...Ch. 3.2 - Tornadoes The following data represent the width...Ch. 3.2 - Video Games and Grade-Point Average Professor...Ch. 3.2 - Hurricanes The following data represent the...Ch. 3.2 - Homeruns A baseball analyst wishes to find a...Ch. 3.2 - Demand for Jeans The marketing manager at...Ch. 3.2 - Maternal Age versus Down Syndrome A biologist...Ch. 3.2 - Find the line of best fit for the ordered pairs (...Ch. 3.2 - What does a correlation coefficient of 0 imply?Ch. 3.2 - Explain why it does not make sense to interpret...Ch. 3.2 - Refer to Problem 19. Solve G( h )=0 . Provide an...Ch. 3.2 - Find an equation for the line containing the...Ch. 3.2 - Find the domain of f( x )= x1 x 2 25 .Ch. 3.2 - For f(x)=5x8 and g(x)= x 2 3x+4 , find (gf)(x) .Ch. 3.2 - Write the function whose graph is the graph of y=...Ch. 3.3 - List the intercepts of the equation y= x 2 9 ....Ch. 3.3 - Prob. 2AYPCh. 3.3 - To complete the square of x 2 5x , you add the...Ch. 3.3 - To graph y= (x4) 2 you shift the graph of y= x 2...Ch. 3.3 - The graph of a quadratic function is called a(n)...Ch. 3.3 - The vertical line passing through the vertex of a...Ch. 3.3 - The x-coordinate of the vertex of f( x )=a x 2...Ch. 3.3 - True or False The graph of f( x )=2 x 2 +3x4 opens...Ch. 3.3 - True or False The y-coordinate of the vertex of f(...Ch. 3.3 - True or False If the discriminant b 2 4ac=0 , the...Ch. 3.3 - If b 2 4ac0 , which of the following conclusions...Ch. 3.3 - If the graph of f( x )=a x 2 +bx+c,a0 , has a...Ch. 3.3 - In Problems 13-20, match each graph to one the...Ch. 3.3 - In Problems 13-20, match each graph to one the...Ch. 3.3 - In Problems 13-20, match each graph to one the...Ch. 3.3 - In Problems 13-20, match each graph to one the...Ch. 3.3 - In Problems 13-20, match each graph to one the...Ch. 3.3 - In Problems 13-20, match each graph to one the...Ch. 3.3 - In Problems 13-20, match each graph to one the...Ch. 3.3 - In Problems 13-20, match each graph to one the...Ch. 3.3 - In Problems 21-32, graph the function f by...Ch. 3.3 - In Problems 21-32, graph the function f by...Ch. 3.3 - In Problems 21-32, graph the function f by...Ch. 3.3 - In Problems 21-32, graph the function f by...Ch. 3.3 - In Problems 21-32, graph the function f by...Ch. 3.3 - In Problems 21-32, graph the function f by...Ch. 3.3 - In Problems 21-32, graph the function f by...Ch. 3.3 - In Problems 21-32, graph the function f by...Ch. 3.3 - In Problems 21-32, graph the function f by...Ch. 3.3 - In Problems 21-32, graph the function f by...Ch. 3.3 - In Problems 21-32, graph the function f by...Ch. 3.3 - In Problems 21-32, graph the function f by...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 33-48, (a) graph each quadratic...Ch. 3.3 - In Problems 49-54, determine the quadratic...Ch. 3.3 - In Problems 49-54, determine the quadratic...Ch. 3.3 - In Problems 49-54, determine the quadratic...Ch. 3.3 - In Problems 49-54, determine the quadratic...Ch. 3.3 - In Problems 49-54, determine the quadratic...Ch. 3.3 - In Problems 49-54, determine the quadratic...Ch. 3.3 - In Problems 55-62, determine, without graphing,...Ch. 3.3 - In Problems 55-62, determine, without graphing,...Ch. 3.3 - In Problems 55-62, determine, without graphing,...Ch. 3.3 - In Problems 55-62, determine, without graphing,...Ch. 3.3 - In Problems 55-62, determine, without graphing,...Ch. 3.3 - In Problems 55-62, determine, without graphing,...Ch. 3.3 - In Problems 55-62, determine, without graphing,...Ch. 3.3 - In Problems 55-62, determine, without graphing,...Ch. 3.3 - In Problems 63-74, (a) graph each function, (b)...Ch. 3.3 - In Problems 63-74, (a) graph each function, (b)...Ch. 3.3 - In Problems 63-74, (a) graph each function, (b)...Ch. 3.3 - In Problems 63-74, (a) graph each function, (b)...Ch. 3.3 - In Problems 63-74, (a) graph each function, (b)...Ch. 3.3 - In Problems 63-74, (a) graph each function, (b)...Ch. 3.3 - In Problems 63-74, (a) graph each function, (b)...Ch. 3.3 - In Problems 63-74, (a) graph each function, (b)...Ch. 3.3 - In Problems 63-74, (a) graph each function, (b)...Ch. 3.3 - In Problems 63-74, (a) graph each function, (b)...Ch. 3.3 - In Problems 63-74, (a) graph each function, (b)...Ch. 3.3 - In Problems 63-74, (a) graph each function, (b)...Ch. 3.3 - The graph of the function f( x )=a x 2 +bx+c has...Ch. 3.3 - The graph of the function f(x)=a x 2 +bx+c has...Ch. 3.3 - In Problems 77-82, for the given functions fandg ,...Ch. 3.3 - In Problems 77-82, for the given functions fandg ,...Ch. 3.3 - In Problems 77-82, for the given functions fandg ,...Ch. 3.3 - In Problems 77-82, for the given functions fandg ,...Ch. 3.3 - In Problems 77-82, for the given functions fandg ,...Ch. 3.3 - In Problems 77-82, for the given functions fandg ,...Ch. 3.3 - Answer Problems 83 and 84 using the following: A...Ch. 3.3 - Answer Problems 83 and 84 using the following: A...Ch. 3.3 - 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The following data represent the...Ch. 3.4 - Which Model? An engineer collects the following...Ch. 3.4 - Which Model? The following data represent the...Ch. 3.4 - Which Model? A cricket makes a chirping noise by...Ch. 3.4 - Refer to Example 1 in this section. Notice that if...Ch. 3.4 - Find an equation of the line containing the points...Ch. 3.4 - Find the distance between the points P 1 =( 4,7 )...Ch. 3.4 - Prob. 34RYKCh. 3.4 - Find the intercepts of the graph of 3 x 2 4y=48 .Ch. 3.5 - Solve the inequality 3x27 .Ch. 3.5 - Write (2,7] using inequality notation.Ch. 3.5 - (a) f( x )0 (b) f( x )0Ch. 3.5 - (a) g( x )0 (b) g( x )0Ch. 3.5 - (a) g( x )f( x ) (b) f( x )g( x )Ch. 3.5 - (a) f( x )g( x ) (b) f( x )g( x )Ch. 3.5 - x 2 3x100Ch. 3.5 - x 2 +3x100Ch. 3.5 - x 2 4x0Ch. 3.5 - x 2 +8x0Ch. 3.5 - x 2 90Ch. 3.5 - x 2 10Ch. 3.5 - x 2 +x12Ch. 3.5 - x 2 +7x12Ch. 3.5 - 2 x 2 5x+3Ch. 3.5 - 6 x 2 6+5xCh. 3.5 - x 2 x+10Ch. 3.5 - x 2 +2x+40Ch. 3.5 - 4 x 2 +96xCh. 3.5 - 25 x 2 +1640xCh. 3.5 - 6( x 2 1 )5xCh. 3.5 - 2( 2 x 2 3x )9Ch. 3.5 - What is the domain of the function f( x )= x 2 16...Ch. 3.5 - What is the domain of the function f( x )= x3 x 2...Ch. 3.5 - In Problems 25-32, use the given functions f and g...Ch. 3.5 - In Problems 25-32, use the given functions f and g...Ch. 3.5 - In Problems 25-32, use the given functions f and g...Ch. 3.5 - In Problems 25-32, use the given functions f and g...Ch. 3.5 - In Problems 25-32, use the given functions f and g...Ch. 3.5 - In Problems 25-32, use the given functions f and g...Ch. 3.5 - In Problems 25-32, use the given functions f and g...Ch. 3.5 - In Problems 25-32, use the given functions f and g...Ch. 3.5 - Physics A ball is thrown vertically upward with an...Ch. 3.5 - Physics A ball is thrown vertically upward with an...Ch. 3.5 - Revenue Suppose that the manufacturer of a gas...Ch. 3.5 - Revenue The John Deere company has found that the...Ch. 3.5 - Artillery A projectile Fired from the point ( 0,0...Ch. 3.5 - Runaway Car Using Hooke's Law, we can show that...Ch. 3.5 - Show that the inequality ( x4 ) 2 0 has exactly...Ch. 3.5 - Show that the inequality ( x2 ) 2 0 has one real...Ch. 3.5 - Explain why the inequality x 2 +x+10 has all real...Ch. 3.5 - Explain why the inequality x 2 x+10 has the empty...Ch. 3.5 - Explain the circumstances under which the...Ch. 3.5 - Determine the domain of f( x )= 102x .Ch. 3.5 - Consider the linear function f( x )= 2 3 x6 . (a)...Ch. 3.5 - Determine algebraically whether f( x )= x x 2 +9...Ch. 3.5 - Determine whether the graphs of 6x3y=10 and 2x+y=8...Ch. 3.R - In Problems 1-3: (a) Determine the slope and...Ch. 3.R - In Problems 1-3: (a) Determine the slope and...Ch. 3.R - In Problems 1-3: (a) Determine the slope and...Ch. 3.R - In Problems 4 and 5, determine whether the...Ch. 3.R - In Problems 4 and 5, determine whether the...Ch. 3.R - In Problems 6-8, graph each quadratic function...Ch. 3.R - In Problems 6-8, graph each quadratic function...Ch. 3.R - In Problems 6-8, graph each quadratic function...Ch. 3.R - In Problems 9-14, (a) graph each quadratic...Ch. 3.R - In Problems 9-14, (a) graph each quadratic...Ch. 3.R - In Problems 9-14, (a) graph each quadratic...Ch. 3.R - In Problems 9-14, (a) graph each quadratic...Ch. 3.R - In Problems 9-14, (a) graph each quadratic...Ch. 3.R - In Problems 9-14, (a) graph each quadratic...Ch. 3.R - In Problems 15-17, determine whether the given...Ch. 3.R - In Problems 15-17, determine whether the given...Ch. 3.R - In Problems 15-17, determine whether the given...Ch. 3.R - In Problems 18-19, solve each quadratic...Ch. 3.R - In Problems 18-19, solve each quadratic...Ch. 3.R - 20. In Problems 20 and 21, find the quadratic...Ch. 3.R - 21. In Problems 20 and 21, find the quadratic...Ch. 3.R - 22. Sales Commissions Bill has just been offered a...Ch. 3.R - 23. Demand Equation the price p (in dollars) and...Ch. 3.R - 24. Enclosing the Most Area with a Fence A farmer...Ch. 3.R - 25. Minimizing Marginal Cost Callaway Golf Company...Ch. 3.R - 26. Maximizing Area A rectangle has one vertex on...Ch. 3.R - 27. Parabolic Arch Bridge A horizontal bridge is...Ch. 3.R - 28. Bono Length Research performed at NASA, led by...Ch. 3.R - 29. Advertising A small manufacturing firm...Ch. 3.CT - For the linear function f( x )=4x+3 , a. Find the...Ch. 3.CT - Determine whether the given function is linear or...Ch. 3.CT - Graph f(x)= (x3) 2 2 using transformations.Ch. 3.CT - In Problems 4 and 5, a. Determine whether the...Ch. 3.CT - In Problems 4 and 5, a. Determine whether the...Ch. 3.CT - Determine the quadratic function for the given...Ch. 3.CT - Determine whether f( x )=-2 x 2 +12x+3 has a...Ch. 3.CT - Solve, x 2 10x+240 .Ch. 3.CT - The weekly rental cost of a 20-foot recreational...Ch. 3.CT - The price p (in dollars) and the quantity x sold...Ch. 3.CT - Consider these two data sets: One data set follows...Ch. 3.CR - Find the distance between the points P=( 1,3 ) and...Ch. 3.CR - Which of the following points are on the graph of,...Ch. 3.CR - Solve the inequality 5x+30 and graph the solution...Ch. 3.CR - Find the equation of the line containing the...Ch. 3.CR - Find the equation of the line perpendicular to the...Ch. 3.CR - Graph the equation x 2 + y 2 4x+8y5=0 .Ch. 3.CR - Does the following relation represent a function?...Ch. 3.CR - For the function f defined by f( x )= x 2 4x+1 ,...Ch. 3.CR - Find the domain of h(z)= 3z1 6z7 .Ch. 3.CR - Is the following graph the graph of a function?Ch. 3.CR - Consider the function f(x)= x x+4 . a. Is the...Ch. 3.CR - Is the function f(x)= x 2 2x+1 even, odd, or...Ch. 3.CR - Approximate the local maximum values and local...Ch. 3.CR - If f(x)=3x+5 and g(x)=2x+1 , a. Solve f(x)=g( x )...Ch. 3.CR - For the graph of the function f , a. Find the...
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