Question

A plumber charges $75 for a service call and $40 per hour for time spent. What is the rate of change for additional hours? Write an equation that models the scenario and identify the dependent and independent variables

Answer 1

The equation that models the scenario is y=40x+75.

Explanation:

Given:

Charges for a service call is $75.

Charges for per hour time spent is $40.

Now, to give an equation that models it.

So, the rate of change for additional hours means rate per hour.

Let the number of hours be
`x`.

And the total fee charged by the plumber be
`y`.

The slope of rate of change be
`m`

By putting the formula for the slope of line:

`y=mx+c`

`y=40x+75`

So, the slope of line of function =
`y=40x+75`

Therefore, the equation that models the scenario is y=40x+75.