Question

Jackson's car was making a rumbling noise for 2 weeks. He decided to take it to the mechanic to get it checked out. To diagnose the problem, the mechanic tells Jackson that he charges a flat, one-time fee of $60 and then $35 for each hour he spends trying to identify the problem. What is the slope in this scenario?

Answer 1

The slope is 35

Explanation:

Given

`One\ Time\ Fee = \$60`

`Hourly\ Rate = \$35`

Required

Determine the slope

First, we need to determine the equation.

Let y represents the total charges and x represents the number of hours.

y is calculated using;

`y = One\ Time\ Fee + Hourly\ Rate * x`

This gives:

`y = 60 + 35* x`

`y = 60 + 35x`

Reorder

`y =35x + 60`

The general form of an equation is:

`y =mx + b`

Where m represents the slope

By comparison of
`y =mx + b` and
`y =35x + 60`

`m = 35`

Hence, the slope is 35