The function c(x) = 25.50x + 50 models the total cost for a cleaning company to clean a house, where x is the number of hours it takes to clean the house. what is the average rate of change of the function between 3 hours and 9 hours? a. $17.00 per hour b. $25.50 per hour c. $31.05 per hour d. $42.15 per hour

$25.5 per hour.

Step-by-step explanation:

The function C(x) = 25.50x + 50 ........ (1)  models the total cost for a cleaning company to clean a house, where x is the number of hours it takes to clean the house.

Now, from the linear equation it is clear that the change in cost of cleaning from 3 hours and 9 hours are respectively  {From equation (1)}

C(3) = 25.5 × 3 + 50 = $126.5 and

C(9) = 25.5 × 9 + 50 = $279.5

Therefore, the average rate of change of the function between 3 hours and 9 hours will be =

=

= $25.5 per hour. (Answer)

3

step-by-step explanation: