Solve the variation problem.
-The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 22 minutes requires 15.4 gallons of water. Find the amount of water used in a shower lasting 4 minutes.
A)3.5 gallons
B)2.8 gallons
C)2.1 gallons
D)88 gallons

Question

Quizplus · Accepted Answer

The relationship is direct variation, so we use the formula W = kt, where W is the water used, t is the time, and k is the constant of proportionality. From the given, 15.4 = k * 22, so k = 15.4 / 22. For 4 minutes, W = (15.4 / 22) * 4 = 2.8 gallons.

Solve the Variation Problem