Question

the graph shows the amount of money miguel earns after working x hours. amount earned vs. hours worked what is the rate of change of the amount earned with respect to hours worked for this function? 1/13 hours per dollar 2/5 hours per dollar 3 dollars per hour 13 dollars per hour

Explanation:

Step1: Recall slope formula

The rate of change is the slope of the line. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line. Here, we have the points $(2,26)$ and $(5,65)$.

Step2: Substitute values into formula

Let $x_1 = 2,y_1=26,x_2 = 5,y_2 = 65$. Then $m=\frac{65 - 26}{5 - 2}=\frac{39}{3}=13$. The rate of change represents the amount of money earned per hour.

Answer:

13 dollars per hour