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
[tex]\text{Total earnings}=10+8s[/tex]
This week, the salesperson wants to earn at least $250. It means, total earning must be greater than or equal to 250.
[tex]10+8s\geq 250[/tex]
[tex]8s\geq 250-10[/tex]
[tex]8s\geq 240[/tex]
Divide both sides by 8.
[tex]s\geq 30[/tex]
Therefore, the inequality [tex]s\geq 30[/tex] represents the number of sales, s, the salesperson must make in order to meet that goal.
