If y varies inversely as x, find the inverse variation equation for the situation.
-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 12 feet per second per
Second when the radius of the turn is 100 feet, find the acceleration the passengers feel when the radius of the
Turn is 300 feet.
A) 4 feet per second per second
B) 7 feet per second per second
C) 6 feet per second per second
D) 5 feet per second per second

Question

Quizplus · Accepted Answer

The inverse variation equation is $a = \frac{k}{r}$, where $a$ is the acceleration, $r$ is the radius, and $k$ is the constant of variation. Given $a = 12$ when $r = 100$, we find $k = 1200$. For $r = 300$, $a = \frac{1200}{300} = 4$ feet per second per second.

If Y Varies Inversely as X, Find the Inverse Variation