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.

Answer 1

Let's denote the number of sales you need to make as "x". Since you earn $3 per sale, your earnings from sales would be 3x.

You are already paid $100 per week, so your total pay would be the sum of your base pay and your earnings from sales, which is $100 + 3x.

According to the problem, you want your pay to be at least $160. This gives us the following inequality:

100 + 3x ≥ 160

To solve for "x", we can first subtract 100 from both sides of the inequality:

3x ≥ 160 - 100
3x ≥ 60

Then, we can divide both sides of the inequality by 3:

x ≥ 20

Therefore, you need to make at least 20 sales in order to have a pay of at least $160.