As a salesperson, you are paid $100 per week plus $3 per sale. This week you want your pay to be at least $160. Write and solve an inequality for the number of sales you need to make.

Question

A.100 − 3s ≤ 160; s ≤ 18
B.100 + 3s ≥ 160; s ≥ 20
C.100 + 3s ≥ 160; s ≥ 18
D.100 − 3s ≤ 160; s ≤ 20

Answer 1

Let s be the number of sales you need to make.
Your total pay for the week is 100 + 3s.
To make at least $160, the inequality is:
100 + 3s ≥ 160
Subtracting 100 from both sides, we get:
3s ≥ 60
Dividing both sides by 3, we get:
s ≥ 20

Therefore, the answer is B. 100 + 3s ≥ 160; s ≥ 20.