Question

Liz earns a salary of $2,100 per month, plus a commission of 4% of her sales. She wants to earn at least $2,900 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.

Answer 1

Let S = the amount of sales.

She earns 4% of her sales, this would be written as 0.4S ( you multiply the percent as a decimal by the amount of sales).

You then need to add that amount to her salary so you now have 0.4s + 2100

She wants to earn at least 2900 so the inequality becomes:

2900 ≥ 0.4s + 2100

Her sales would need to be:

800 ≥0.4s

s≥ 800/0.4

s ≥ 2000