Question

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jazmin worked a side job. use the following table to determine pay. find the average rate of change between her working 5 hours and her working 20 hours.

time (hours)	5	8	10	15	20

rate of change =

dollars per hour

Explanation:

Step1: Identify the two points

We have two points: when time \( t_1 = 5 \) hours, dollars earned \( y_1 = 50 \); when time \( t_2 = 20 \) hours, dollars earned \( y_2 = 125 \).

Step2: Use the rate of change formula

The formula for the average rate of change is \( \text{Rate of Change} = \frac{y_2 - y_1}{t_2 - t_1} \).

Substitute the values: \( y_2 - y_1 = 125 - 50 = 75 \), \( t_2 - t_1 = 20 - 5 = 15 \).

Then, \( \text{Rate of Change} = \frac{75}{15} = 5 \).

Answer:

5 dollars per hour