If y varies directly as x, find the direct variation equation for the situation.
-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 15 minutes requires 12 gallons of water. Find the amount of water used in a shower
Lasting 11 minutes.
A) 165 gallons
B) 8.8 gallons
C) 8 gallons
D) 9.6 gallons

Question

Quizplus · Accepted Answer

The direct variation equation is $y = kx$, where $k$ is the constant of variation. Given that a 15-minute shower uses 12 gallons of water, we can find $k$ by solving $12 = k(15)$, giving $k = 0.8$. For an 11-minute shower, $y = 0.8(11) = 8.8$ gallons.

If Y Varies Directly as X, Find the Direct Variation