Question

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.

Answer 1

C(t) = 50 + 75t

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.

Answer 2

C(t) = 50 + 75t

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.