Question

A salesperson is paid $110 per week plus 15% commission on her weekly sales of x dollars. How do you find a linear function that represents her total weekly pay w in terms of x?

Answer 1

`$w=$15/100x+$110`

Answer 2

`w(x)=0.15x+110`

Explanation:

The weekly pay consists of two terms: the $110 and the 15% commission. These two terms are added together to give the total weekly pay (`w`).

The weekly sales are given by `x`, which is a variable that can change every week. We need to find 15% of these sales. This will be 15% multiplied by `x`.

First, convert 15% to a fraction, then decimal:

`15%=15/100=0.15`

Then, multiply it by `x` to get the commission term:

`0.15x`

Finally, add the two terms together to get the linear function:

`w(x)=0.15x+110`

As an example, if the person has weekly sales of $100, the weekly pay will be:

`w(100)=0.15*100+110=$125`