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.
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.