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

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.

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 made in a week.

The total pay is given by $100 + $3s.

To find the number of sales needed to make at least $160, we set up the inequality:

$100 + $3s ≥ $160

Subtracting $100 from both sides, we have:

$3s ≥ $60

Dividing both sides by $3, we get:

s ≥ 20

Thus, the correct answer is option B: 100 + 3s ≥ 160; s ≥ 20.