Question

Mike's Plumbing Services charges a one-time inspection fee and an hourly rate while on the job. The total cost can be modeled by the equation, y = 30x + 150. Which statement represents the meaning of each part of the function?

a) The one-time inspection fee is $150, and the hourly rate is $30.
b) The one-time inspection fee is $30, and the hourly rate is $150.
c) The total cost is $150, and it increases by $30 for each hour of work.
d) The total cost is $30, and it increases by $150 for each hour of work.

Answer 1

The equation, y = 30x + 150, represents the total cost of Mike's Plumbing Services. The coefficient of x represents the hourly rate, and the constant term represents the one-time inspection fee.

Step-by-step explanation:

The equation, y = 30x + 150, represents the total cost of Mike's Plumbing Services.

The coefficient of x, which is 30, represents the hourly rate charged by the service.

This means that for each hour of work, there is an additional cost of $30.

The constant term, which is 150, represents the one-time inspection fee charged by the service.

This means that regardless of the number of hours spent on the job, there will be a fixed fee of $150.