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13 February, 06:01

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

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Answers (1)
  1. 13 February, 06:29
    0
    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.
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