Question

Liz earns a salary of $2,500 per month, plus a commission of 6% 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. The inequality that represents the situation is + s . S =

Answer 1

Answer: the sales for the month must be greater than or equal to $6666.7

Explanation:

Let x represent her sales for the month.

Liz earns a salary of $2,500 per month, plus a commission of 6% of her sales. If she makes sales worth $s for the month, then her commission for the month would be

6/100 × s = 0.06 × s = 0.06s

Her total income for a month would be

2500 + 0.06s

She wants to earn at least $2,900 this month.

Therefore, the inequality that represents the situation would be

2500 + 0.06s ≥ 2900

0.06s ≥ 2900 - 2500

0.06s ≥ 400

s ≥ 400/0.06

s ≥ 6666.7