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

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)