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Andrew [12]
3 years ago
7

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
Mathematics
1 answer:
Liula [17]3 years ago
5 0

Answer:

$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 = \frac{\textrm {Change in price of cleaning}}{\textrm {Change in hours}}

= \frac{279.5 - 126.5}{9 - 3}

= $25.5 per hour. (Answer)

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