8th Edition

ISBN: 9780136553250

Author: Blitzer

Publisher: VST

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Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

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Textbook Question

Chapter 8.5, Problem 74ES

The functions

f ( x ) = 0.0875 x 2 − 0.4 x + 66.6

Dry pavement

and

Wet pavement

g ( x ) = 0.0875 x 2 + 1.9 x + 11.6

model a car’s stopping distance, f ( x ) or g ( x ) , in feet, traveling at x miles per hour. Function f models stopping distance on dry pavement and function g models stopping distance on wet pavement. The graphs of these functions are shown for speed of 30 miles per hour and greater. Notice that the figure does not specify which graph is the model for dry roads and which is the model for wet roads. Use this information to solve Exercises 73

Chapter 8.5, Problem 74ES, The functions f(x)=0.0875x20.4x+66.6 Dry pavement and Wet pavement g(x)=0.0875x2+1.9x+11.6 model a

a Use the given functions to find the stopping distance on dry pavement and the stopping distance on wet pavement for a car traveling at 55 miles per hour. Round to the nearest foot.

b. Based on your answers to part (a), which rectangular coordinate graph shows stopping distances on dry pavement and which shows stopping distances on wet pavement?

c. How well do your answers to part (a) model the actual stopping distances shown in Figure 8.15 on page

d. Determine speeds on wet pavement requiring stopping distances that exceed the length of one and one-half football field, or 540 feet. Round to the nearest mile per hour. How is this shown on the appropriate graph of the models on page

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Chapter 8.5, Problem 73ES

Chapter 8.5, Problem 75ES

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Chapter 8 Solutions

EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST

Ch. 8.1 - Check Point 1 Solve: . Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Prob. 5CP Ch. 8.1 - Prob. 6CP Ch. 8.1 - Prob. 7CP Ch. 8.1 - Prob. 8CP Ch. 8.1 - Prob. 9CP Ch. 8.1 - Prob. 10CP

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Solution Summary: The author calculates the stopping distance on dry and wet pavement for a car travelling at 55 miles per hour.

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