Answer:
Part A) ![0.12x+2,700\geq 5,400](https://tex.z-dn.net/?f=0.12x%2B2%2C700%5Cgeq%205%2C400)
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
![12\%=12/100=0.12](https://tex.z-dn.net/?f=12%5C%25%3D12%2F100%3D0.12)
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
![0.12x+2,700\geq 5,400](https://tex.z-dn.net/?f=0.12x%2B2%2C700%5Cgeq%205%2C400)
Part B) Find the solution and describe what the graph would look like on a number line
we have
![0.12x+2,700\geq 5,400](https://tex.z-dn.net/?f=0.12x%2B2%2C700%5Cgeq%205%2C400)
Solve for x
subtract 2,700 both sides
![0.12x \geq 5,400-2,700\\0.12x \geq 2,700](https://tex.z-dn.net/?f=0.12x%20%5Cgeq%205%2C400-2%2C700%5C%5C0.12x%20%5Cgeq%202%2C700)
Divide by 0.12 both sides
![x\geq \$22,500](https://tex.z-dn.net/?f=x%5Cgeq%20%5C%2422%2C500)
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