Answer: The rate of change is $26.60 per hour.
Explanation:
The rate of change can be determined by finding the slope of the line on the graph. In this case, the line represents Nevaeh's earnings in dollars and cents for working a certain number of hours.
To find the rate of change, we need to calculate the change in earnings (y) divided by the change in hours worked (x).
Let's choose two points on the line: (10, $266) and (20, $532).
The change in earnings is $532 - $266 = $266.
The change in hours worked is 20 - 10 = 10.
Now we can calculate the rate of change by dividing the change in earnings by the change in hours worked:
Rate of change = Change in earnings / Change in hours worked
= $266 / 10
= $26.60
Therefore, the rate of change is $26.60 per hour.
It's important to note that the rate of change represents how much Nevaeh's earnings increase or decrease for each additional hour worked. In this case, Nevaeh's earnings increase by $26.60 for each additional hour worked.