Question

Write your inequality below. Use the words 'is greater than', 'is less than', 'is greater than or equal to', or 'is less than or equal to' instead of the symbols, if necessary. An employment agency sells its services to companies for a fixed rate of $2,500 plus a commission of 42% of its sales. To cover the agency's expenses, it needs to earn at least $8,800 a month. Write an inequality that, when solved, will give the amount of sales, s, the agency needs to cover its expenses.

Answer 1

The minimum amount of sales needed to cover its expenses is $15,000

Explanation:

Let

s ----> the amount of sales

we know that

The amount of sales s multiplied by the percentage of commission (42%) plus the fixed rate of $2,500 must be greater than or equal to $8,800 a month

so

The inequality that represent this situation is

`0.42s+2,500\geq 8,800`

solve for s

subtract 2,500 both sides

`0.42s\geq 8,800-2,500`

`0.42s\geq 6,300`

divide by 0.42 both sides

`s\geq 15,000`

therefore

The minimum amount of sales needed to cover its expenses is $15,000