Question

time (min) | water left in pool (gal)
10 | 80
20 | 60
30 | 40
40 | 20
-2 gallons per minute
-20 minutes per gallon
-2 minutes per gallon
-20 gallons per minute

Explanation:

Step1: Identify the change in water and time

From the table, between 10 and 20 minutes, time changes by \(20 - 10 = 10\) minutes, and water changes by \(60 - 80 = -20\) gallons.

Step2: Calculate the rate of change

The rate of change of water with respect to time is \(\frac{\text{Change in Water}}{\text{Change in Time}}=\frac{-20}{10}=-2\) gallons per minute. This means the water is decreasing at 2 gallons per minute.

Answer:

-2 gallons per minute