A Verizon salesman sold $5,750 in sales last week. He made $230 in commission. What percent commission did he make?

The answer is: 4%  

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 5750 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 5750, so we can write it down as 100%=5750.

4. We know, that x% equals 230 of the output value, so we can write it down as x%=230.

5. Now we have two simple equations:

1) 100%=5750

2) x%=230

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=5750/230

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230 is what percent of 5750

100%/x%=5750/230

(100/x)*x=(5750/230)*x       - we multiply both sides of the equation by x

100=25*x       - we divide both sides of the equation by (25) to get x

100/25=x

4=x

x=4

now we have:

230 is 4% of 5750

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

yes the data was not prsented

step-by-step explanation: