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.

part b

find the solution and describe what the graph would look like on a number line. show your work.

Part A)

Part B) see the explanation

Step-by-step explanation:

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

Let

x ----> the amount of sales monthly

Remember that

we know that

The fixed amount of $2,700 plus the commission of 12% on all of his sales for the month must be greater than or equal to $5,400

so

The inequality that represent this problem is

Part B) Find the solution and describe what the graph would look like on a number line

we have

Solve for x

subtract 2,700 both sides

Divide by 0.12 both sides

The minimum amount of sales needed to cover his monthly expenses is $22,500

In a number line the solution is the shaded area at right of x=22,500 (closed circle)

see the attached figure to better understand the problem

8

Step-by-step explanation:

48 divided by 2=24 divided by 3=8