The braking distance required for a car to stop depends on numerous variables such as the speed of the car, the weight of the car, reaction time of the driver, and the coefficient of friction between the tires and the road. For a certain vehicle on one stretch of highway, the braking distances d(s) (in ft) are given for several different speeds s (in mph). 30 35 40 45 50 d(s) 109 134 162 191 223 55 60 65 70 75 256 291 328 368 409 (s)P a. Use regression to find a quadratic function to model the data. b. Use the model from part (a) to predict the stopping distance for the car if it is traveling 62 mph before the brakes are applied. Round to the nearest foot. c. Suppose that the car is traveling 53 mph before the brakes are applied. If a deer is standing in the road at a distance of 245 ft from the point where the brakes are applied, will the car hit the deer?

The braking distance required for a car to stop depends on numerous variables such as the speed of the car, the weight of the car, reaction time of the driver, and the coefficient of friction between the tires and the road. For a certain vehicle on one stretch of highway, the braking distances d(s) (in ft) are given for several different speeds s (in mph). 30 35 40 45 50 d(s) 109 134 162 191 223 55 60 65 70 75 256 291 328 368 409 (s)P a. Use regression to find a quadratic function to model the data. b. Use the model from part (a) to predict the stopping distance for the car if it is traveling 62 mph before the brakes are applied. Round to the nearest foot. c. Suppose that the car is traveling 53 mph before the brakes are applied. If a deer is standing in the road at a distance of 245 ft from the point where the brakes are applied, will the car hit the deer?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

The braking distance required for a car to stop depends on numerous variables such as the speed of the car, the weight of
the car, reaction time of the driver, and the coefficient of friction between the tires and the road. For a certain vehicle on
one stretch of highway, the braking distances d(s) (in ft) are given for several different speeds s (in mph).
30
35
40
45
50
d(s)
109
134
162
191
223
55
60
65
70
75
256
291
328
368
409
(s)P
a. Use regression to find a quadratic function to model the data.
b. Use the model from part (a) to predict the stopping distance for the car if it is traveling 62 mph before the brakes are
applied. Round to the nearest foot.
c. Suppose that the car is traveling 53 mph before the brakes are applied. If a deer is standing in the road at a distance of
245 ft from the point where the brakes are applied, will the car hit the deer?

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