Write an equation that expresses the relationship. Use k as the constant of variation.
-While traveling at a constant speed in a car, the centrifugal acceleration passengers feel while the car is turning is inversely proportional to the radius of the turn. If the passengers feel an acceleration of 20 feet per second per second when the radius of the turn is 80 feet, find the acceleration the passengers feel when the radius of the turn is 320 feet.
A) 5 feet per second per second
B) 6 feet per second per second
C) 7 feet per second per second
D) 8 feet per second per second Write an equation that expresses the relationship. Use k as the constant of variation.

Question

Quizplus · Accepted Answer

The relationship is inversely proportional, so $a = \frac{k}{r}$. Given $a = 20$ when $r = 80$, we find $k = 20 \times 80 = 1600$. For $r = 320$, $a = \frac{1600}{320} = 5$ feet per second per second.

Write an Equation That Expresses the Relationship