a health club charges a one - time sign - up fee and a monthly membership fee. the graph below represents…

Answer:

$60$

Explanation:

Step1: Recall slope - rate of change formula

The rate of change of a linear relationship is given by the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify two points

We have the points $(4,290)$ and $(9,590)$. Here $x_1 = 4,y_1=290,x_2 = 9,y_2 = 590$.

Step3: Calculate the rate of change

$m=\frac{590 - 290}{9 - 4}=\frac{300}{5}=60$.