Question

An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. The total cost of the electrician's services can be determined using the equation C = 60t + 110, where t is the number of hours the electrician spends at the house working. What is the y-intercept of the equation, and what is its interpretation in the context of the problem?

a) Y-intercept is 60, and it represents the cost of the house call.
b) Y-intercept is 110, and it represents the cost of the hourly rate.
c) Y-intercept is 0, and it represents the total cost of the electrician's services.
d) Y-intercept is 1, and it represents the number of hours worked by the electrician.

Answer 1

The y-intercept of the equation C = 60t + 110 is 110. In the context of the problem, the y-intercept represents the cost of the house call.

Step-by-step explanation:

The y-intercept of the equation C = 60t + 110 is 110.

In the context of the problem, the y-intercept represents the cost of the house call. This means that even if the electrician spends 0 hours working, there will still be a fixed cost of $110 for the house call.