Question

find the rate at which the water level is changing. write in fraction form (no spaces).
rate of change: type your answer...

Explanation:

Step1: Recall the formula for rate of change (slope)

The formula for the slope \(m\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, \((x_1,y_1)=(5,6)\) and \((x_2,y_2)=(11,9)\).

Step2: Substitute the values into the formula

Substitute \(x_1 = 5,y_1 = 6,x_2=11,y_2 = 9\) into \(m=\frac{y_2 - y_1}{x_2 - x_1}\). We get \(m=\frac{9 - 6}{11 - 5}\).

Step3: Simplify the expression

\(m=\frac{3}{6}=\frac{1}{2}\)

Answer:

\(\frac{1}{2}\)