Question

water tank
complete the statement that describes the rate of change of the water level with respect to time.

Explanation:

Step1: Identify two points on the line

Let's take the points (0, 9) and (6, 7).

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 9,x_2=6,y_2 = 7$. So $m=\frac{7 - 9}{6-0}=\frac{- 2}{6}=-\frac{1}{3}$.

Answer:

The rate of change of the water level with respect to time is $-\frac{1}{3}$ meters per hour.