Question

A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of ​$27. Option B is a commission rate of 10​% on weekly sales. How much does she need to sell this week to earn the same amount with the two​ options?

Answer 1

Explanation:

To compare the two options, we need to determine how much the salesperson would earn under each option. Under Option A, the salesperson would earn
`40 hours * $27/hour = $ < < 40*27=1080 > > 1080.`

Under Option B, the salesperson would earn a commission of 10% on her weekly sales. Let S be the amount of sales needed for the two options to be equal. We can set up the following equation:

`0.1S = $1080`

Solving for S, we get:

`S = $1080 / 0.1= $ < < 1080/0.1=10800 > > 10,800`

Therefore, the salesperson would need to sell $10,800 worth of products in order to earn the same amount under Option B as she would under Option A.