Question

answer the following questions. (a) choose the statement that best describes how the time and the amount of water in the pool are related. then give the value required. as time increases, the amount of water in the pool decreases. at what rate is the amount of water in the pool decreasing? gallons per minute as time increases, the amount of water in the pool increases. at what rate is the amount of water in the pool increasing? gallons per minute

Explanation:

Step1: Identify rate - calculation concept

The rate of change of the amount of water in the pool is calculated by the change in the amount of water divided by the change in time.
Let's assume two - time points from the table. For example, if at time $t_1$ the amount of water is $W_1$ and at time $t_2$ the amount of water is $W_2$, the rate $r=\frac{W_2 - W_1}{t_2 - t_1}$.
Since the amount of water is increasing (as we can assume from the context of filling a pool), we take two points from the table. Suppose at $t_1 = 12$ minutes, $W_1=197$ gallons and at $t_2 = 16$ minutes, $W_2 = 241$ gallons.

Step2: Calculate the rate

$r=\frac{241 - 197}{16 - 12}=\frac{44}{4}=11$ gallons per minute.

Answer:

11 gallons per minute