Question

in which story could you use the quotient -25,000 ÷ 14 to answer the question? ms. erikson is filling her pool for the summer. the pool holds 25,000 gallons of water. it takes 14 hours for the pool to fill completely. on average, how much does the amount of water in the pool change per hour? ms. erikson is draining her pool for the winter. the pool holds 25,000 gallons of water. it takes 14 hours for the pool to drain completely. on average, how much does the amount of water in the pool change per hour?

Explanation:

Step1: Analyze filling - case

When filling the pool, the amount of water is increasing. The rate of change of water amount per hour is positive. The calculation for filling is $\frac{25000}{14}$, not $- 25000\div14$.

Step2: Analyze draining - case

When draining the pool, the amount of water is decreasing. We can represent the decrease of 25000 gallons of water over 14 hours as $-25000\div14$. The negative sign indicates the decrease in the amount of water.

Answer:

Ms. Erikson is draining her pool for the winter. The pool holds 25,000 gallons of water. It takes 14 hours for the pool to drain completely. On average, how much does the amount of water in the pool change per hour?