Question

Suzette is opening an office cleaning business. Her competitor charges $35 per hour plus a $42 cleaning supply fee. Which inequality could be used to represent the situation where Suzette’s charges, S, would be no more than her competitor’s charges?

Answer 1

`S\le 35h+42`

Explanation:

Given that:

Cleaning supply fee charged by the competitor = $42

The charges by competitor per hour = $35

Let the number of hours =
`h` hours

Charges for
`h` number of hours = Number of hours multiplied by Charges per hour = $35
`h`

Now, total charges by the competitor = Charges for
`h` number of hours + Charges by the competitor = $35
`h` + 42

Charges of Suzette's =
`S`

As per question statement, the Suzette's charges can not be more than the competitor charges. Therefore Suzette's charges must be lesser than or equal to the competitor charges.

So, the inequality can be written as:

`S\le 35h+42`

Where
`h` represents the number of hours.