An electrician charges a set fee of $50 for every house call and then charges an additional $75 per hour. Write an equation for the function C (t), C (t), C (t), representing the total cost of the electrician's services if the electrician spends tt t hours at the house working.

Question

Mathematics

Addison Bond

5 August, 10:21

An electrician charges a set fee of $50 for every house call and then charges an additional $75 per hour. Write an equation for the function C (t), C (t), C (t), representing the total cost of the electrician's services if the electrician spends tt t hours at the house working.

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Logan Vaughan · Answer 1

C (t) = 50 + 75t

Step-by-step explanation:

The electrician charges a set fee of $50. This fee is independent on the number of hours he spends in each house.

He charges an additional $75 per hour.

If the number of hours he spends working in each house is t, then, after t hours, the additional charges will be:

75 * t = 75t

The total cost, C (t) of the electrician's services is the sum of the set fee and the additional charges after t hours. That is:

C (t) = 50 + 75t

This is the function C (t), representing the total cost of the electrician's services.