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
100−3s≤160; s≤18

B. 100+3s≥160; s≥20
100+3s≥160; s≥20

C. 100+3s≥160; s≥18
100+3s≥160; s≥18

D. 100−3s≤160; s≤20
100−3s≤160; s≤20

Answer 1

The correct inequality is A. 100−3s≤160; s≤18

To solve it, we subtract 100 from both sides of the inequality:

-3s ≤ 60

Then, we divide both sides by -3, remembering to flip the inequality sign because we are dividing by a negative number:

s ≥ -20

However, since we cannot have a negative number of sales, the result is:

s ≤ 20

Therefore, the correct answer is A. 100−3s≤160; s≤18