Question

Use the table to find the average rate of change in earnings from 32
to 40
hours.

Hours
Earning, $
28
560
32
640
36
720
40
800
44
880

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(2 points)
$

per hour

Answer 1

To find the average rate of change in earnings from 32 hours to 40 hours, we can use the formula for average rate of change:

\[
\text{Average Rate of Change} = \frac{\text{Earnings at 40 hours} - \text{Earnings at 32 hours}}{\text{40 hours} - \text{32 hours}}
\]

From the table:

- Earnings at 32 hours = $640
- Earnings at 40 hours = $800

Now plug in the values:

\[
\text{Average Rate of Change} = \frac{800 - 640}{40 - 32} = \frac{160}{8} = 20
\]

Thus, the average rate of change in earnings from 32 to 40 hours is **$20 per hour**.