If y varies directly as x, find the direct variation equation for the situation.
-The distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped. An object falls 88.2 meters in 3 seconds. Find the distance the object falls in 4 seconds.
A) 12 meters
B) 39.2 meters
C) 117.6 meters
D) 156.8 meters

Question

Quizplus · Accepted Answer

The distance fallen is directly proportional to the square of the time, so the equation is d = kt^2. Given d = 88.2 meters when t = 3 seconds, we find k = 88.2 / 9 = 9.8. For t = 4 seconds, d = 9.8 * 16 = 156.8 meters.

If Y Varies Directly as X, Find the Direct Variation