Clearly label solutions for all cases (a, b...). Show all your work. You can type your solutions and answers. Please label and scale x- & y- axes in the context of this problem. A car safety association conducted tests to measure the stopping distances of a new model of car and collected the following measurements. 30 40 50 60 70 80 90 100 Speed (km/h) d(s) Stopping Distance (m) 19.2 22.2 24.8 27.1 29.5 31.6 33.2 35.0 a) Use an algebraic method to determine an equation that fits i) the linear model ii) the quadratic model iii) the exponential model iv) plot the five points on graphs using a suitable scale. Please complete the table of values. Graph each equation on the same grid. b) Use each of the following models to predict the stopping distance if speed is 150 km/h. i) the linear model ii) the quadratic model iii) the exponential model c) Which model is most reasonable? Explain your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Clearly label solutions for all cases (a, b...). Show all your work. You can type your solutions
and answers. Please label and scale x- & y- axes in the context of this problem.
A car safety association conducted tests to measure the stopping distances of a new
model of car and collected the following measurements.
S
30
40
50
60
70
80
90
100
Speed (km/h)
d(s)
Stopping Distance (m)
19.2
22.2
24.8
27.1
29.5
31.6
33.2
35.0
a) Use an algebraic method to determine an equation that fits
i) the linear model
ii) the quadratic model
iii) the exponential model
iv) plot the five points on graphs using a suitable scale. Please complete the
table of values. Graph each equation on the same grid.
b) Use each of the following models to predict the stopping distance if speed is
150 km/h.
i) the linear model
ii) the quadratic model
iii) the exponential model
c) Which model is most reasonable? Explain your answer.
Transcribed Image Text:Clearly label solutions for all cases (a, b...). Show all your work. You can type your solutions and answers. Please label and scale x- & y- axes in the context of this problem. A car safety association conducted tests to measure the stopping distances of a new model of car and collected the following measurements. S 30 40 50 60 70 80 90 100 Speed (km/h) d(s) Stopping Distance (m) 19.2 22.2 24.8 27.1 29.5 31.6 33.2 35.0 a) Use an algebraic method to determine an equation that fits i) the linear model ii) the quadratic model iii) the exponential model iv) plot the five points on graphs using a suitable scale. Please complete the table of values. Graph each equation on the same grid. b) Use each of the following models to predict the stopping distance if speed is 150 km/h. i) the linear model ii) the quadratic model iii) the exponential model c) Which model is most reasonable? Explain your answer.
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