Determine the constant of variation for the stated condition.
-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 25 minutes requires $12.5$ gallons of water. Find the amount of water used in a shower lasting 10 minutes.
A) 5 gallons
B) $31.25$ gallons
C) 20 gallons
D) $1.25$ gallons

Question

Quizplus · Accepted Answer

The constant of variation (k) is found by dividing the amount of water by the time: $k = \frac{12.5 \text{ gallons}}{25 \text{ minutes}} = 0.5 \text{ gallons/minute}$. For a 10-minute shower, the water used is $0.5 \times 10 = 5$ gallons.

Determine the Constant of Variation for the Stated Condition 12.512.512.5 Gallons of Water

Determine the Constant of Variation for the Stated Condition $12.5$ Gallons of Water