Question

an engineer uses a linear model to calculate the amount of water in a reservoir based on the number of hours the reservoir drains. identify the rate the water is draining from the reservoir. enter your answer.
the reservoir drains ? gallons per hour.
hours | water remaining (gal)
4 | 15.362
7 | 9.254

Explanation:

Step1: Find change in water

The change in the amount of water remaining is $\Delta W=15.362 - 9.254=6.108$ gallons.

Step2: Find change in time

The change in time is $\Delta t=7 - 4 = 3$ hours.

Step3: Calculate the rate

The rate of water - draining is the change in water divided by the change in time. So, the rate $r=\frac{\Delta W}{\Delta t}=\frac{6.108}{3}=2.036$ gallons per hour.

Answer:

$2.036$