Question

.A salesperson is paid $10 per week plus $8 per sale. This week, the salesperson wants to earn at least $250. Which inequality represents the number of sales, s, the salesperson must make in order to meet that goal?

Answer 1

Given:

A salesperson is paid $10 per week plus $8 per sale.

This week, the salesperson wants to earn at least $250.

To find:

The inequality represents the number of sales, s, the salesperson must make in order to meet that goal.

Solution:

Let s be the number of sales.

Fixed earnings = $10 per week

Earning on 1 sale = $8

Earnings on s sales = $8s

Total earnings = Fixed earnings + Additional earnings of sale

`\text{Total earnings}=10+8s`

This week, the salesperson wants to earn at least $250. It means, total earning must be greater than or equal to 250.

`10+8s\geq 250`

`8s\geq 250-10`

`8s\geq 240`

Divide both sides by 8.

`s\geq 30`

Therefore, the inequality
`s\geq 30` represents the number of sales, s, the salesperson must make in order to meet that goal.