Answer:
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