the graph shows the amount of money miguel earns after working x hours.\nwhat is the rate of change of the…

the graph shows the amount of money miguel earns after working x hours.\nwhat is the rate of change of the amount earned with respect to hours worked for this function?\n$\frac{1}{13}$ hours per dollar\n$\frac{2}{5}$ hours per dollar\n3 dollars per hour\n13 dollars per hour

the graph shows the amount of money miguel earns after working x hours.\nwhat is the rate of change of the amount earned with respect to hours worked for this function?\n$\frac{1}{13}$ hours per dollar\n$\frac{2}{5}$ hours per dollar\n3 dollars per hour\n13 dollars per hour

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}).

Step2: Identify two points from the graph

We have the points ((2,26)) and ((5,65)). Here (x_1 = 2,y_1=26,x_2 = 5,y_2 = 65).

Step3: Substitute into the slope formula

[ \begin{align*} m&=\frac{65 - 26}{5 - 2}\ &=\frac{39}{3}\ & = 13 \end{align*} ]

Answer:

13 dollars per hour