18
QuizMultiple Choice

Modeling with Functions — Quiz

Question 18 • Mathematics III

The distance it takes a car to come to a complete stop after the brakes are applied is related to the speed that the car is traveling. The stopping distances and speeds are shown in the table. Stopping Distance of a Car vs. Speed Stopping Distance, d (in feet) Speed, s (in miles per hour) 20 17 point 8 9 40 25 point 3 0 60 30 point 9 8 80 35 point 7 8 100 40 point 0 0 Which equation best represents the data in the table?

Answer
A
s is equal to 1 over 25 d squared
B
s is equal to 0 point 3 7 d plus 20
C
s is equal to 13 point 7 log d
D
s is equal to 4 square root of d

Explanation

The table pairs stopping distances d of 20, 40, 60, 80, and 100 feet with speeds s of about 17.89, 25.30, 30.98, 35.78, and 40 miles per hour. Using s = 4√d gives 4√20 ≈ 17.89 and 4√100 = 40, matching the table. So the equation that best represents the data is “s is equal to 4 square root of d.”

AI-written and checked against the verified answer.

Previous
Next