Question

Ollie earns a fixed amount of $2,700 per month and a commission of 12% on all of his sales for the month. To cover all of his expenses, he needs to earn at least $5,400 each month.

Part A

Write an inequality that will represent the amount of sales Ollie will need in order to cover his monthly expenses.

Answer 1

The amount of sales in order to cover his monthly expenses must be greater than or equal to $22,500

Explanation:

Let

x----> represent the amount of sales Ollie will need

we know that

The amount of sales for the month multiplied by the commission rate as a decimal plus the fixed amount must be greater than or equal to $5,400 each month

so

The inequality that represent this situation is

`0.12x+2,700\geq 5,400`

solve for x

subtract 2,700 both sides

`0.12x \geq 5,400-2,700`

`0.12x \geq 2,700`

divide by 0.12 both sides

`x \geq \$22,500`

The amount of sales in order to cover his monthly expenses must be greater than or equal to $22,500