Question

type the correct answer in each box.

the graph represents the gallons of water in a water tank with respect to the number of hours since it was completely filled.

the total capacity of the water tank is gallons, and the rate of change is gallons per hour.

Explanation:

Identify the initial capacity

Using the Linear Function Interpretation knowledge point
The y-intercept represents the initial amount of water when the tank was completely filled at \(t = 0\).
Looking at the graph, the line starts on the y-axis at the point \((0, 400)\).
Thus, the total capacity of the water tank is \(400\) gallons.

Calculate the rate of change

Using the Slope of a Line knowledge point

$$
LATEXBLOCK0
$$

The rate of change is \(-20\) gallons per hour.

Answer:

The total capacity of the water tank is <blank>400</blank> gallons, and the rate of change is <blank>-20</blank> gallons per hour.