Maids, Inc. offers a maid service whose fees are defined by the function C (t) below, where t represents the number of hours purchased. How much more will a customer pay to use the service for 5 hours than for 3 hours? C (t) = 45t + 95

Select one:

A. 45

B. 60

C. 75

D. 90

Given:

The cost function C (t) = 45t + 95 where t is the number of hours purchased

To Find:

The amount of money a customer pays more for using the service for 5 hours than for 3 hours

Solution:

A customer has to pay $90 more to use the service for 5 hours than for 3 hours.

Calculation:

First, we find the cost of using the service for 3 hours, i. e., at t=3. We do this by substituting t=3 in the cost function C (t) = 45t + 95

C (t) = 45 (3) + 95 = 230

Thus the cost for using the service for 3 hours is $230.

Next, we find the cost of using the service for 5 hours, i. e., at t=5. We do this by substituting t=5 in the cost function C (t) = 45t + 95

C (t) = 45 (5) + 95 = 320

Thus the cost for using the service for 5 hours is $320.

The difference in the two prices is $ (320-230) = $90

So, a customer has to pay $90 more to use the service for 5 hours than for 3 hours.