4. Below is a table relating speed of a vehicle, s, and its stopping distance, d(s). Highway Safety Division Stopping Distance (ft) Speed (mph) 10 14.6 20 39.9 30 75.2 40 120.5 50 175.8 a. Determine the stopping distance at 70 mph. b. Use the function properties that you learned previously to make a conjecture as to the type of function that models the given data. What type of function models this pattern? C. Why can't you use the pattern to find d(25)? d. Find a particular equation for d(s) and verify that all of the d(s) values in the given table satisfy the equation. e. Evaluate d(25). f. At what speed will the stopping distance be 100ft? Give both, the exact (without calculator) and approximate (with calculator) answers.
4. Below is a table relating speed of a vehicle, s, and its stopping distance, d(s). Highway Safety Division Stopping Distance (ft) Speed (mph) 10 14.6 20 39.9 30 75.2 40 120.5 50 175.8 a. Determine the stopping distance at 70 mph. b. Use the function properties that you learned previously to make a conjecture as to the type of function that models the given data. What type of function models this pattern? C. Why can't you use the pattern to find d(25)? d. Find a particular equation for d(s) and verify that all of the d(s) values in the given table satisfy the equation. e. Evaluate d(25). f. At what speed will the stopping distance be 100ft? Give both, the exact (without calculator) and approximate (with calculator) answers.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:4. Below is a table relating speed of a vehicle, s, and its stopping distance, d(s).
Highway Safety Division
Stopping Distance
(ft)
Speed (mph)
10
14.6
20
39.9
30
75.2
40
120.5
50
175.8
a. Determine the stopping distance at 70 mph.
b. Use the function properties that you learned previously to make a conjecture as
to the type of function that models the given data. What type of function models
this pattern?
C. Why can't you use the pattern to find d(25)?
d. Find a particular equation for d(s) and verify that all of the d(s) values in the
given table satisfy the equation.
e. Evaluate d(25).
f. At what speed will the stopping distance be 100ft? Give both, the exact (without
calculator) and approximate (with calculator) answers.
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