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.

Responses

Answer 1

Let x be the number of sales you need to make.

The total pay you receive is $100 + $3x. To ensure your pay is at least $160, we can write the following inequality:

$100 + $3x ≥ $160

Solving for x:

$3x ≥ $60

x ≥ 20

Therefore, you need to make at least 20 sales to ensure your pay is at least $160 for the week.