Milkela earnedc$65.25 for 9 hours of work. This week she earnedc$101.50for14hours. what equation represents the relation ship between the hours worked x, Milkela pay, y

Milkela is getting paid $7.25 per hour worked. So she works 23 hours to make $166.75

Step-by-step explanation:

With the given information, the variables you are asked to use just could work but realistically they are unnecessary to solve the equation.

Essentially we are trying to solve for what she made per hour. So let x equal this rate.

The first week she worked 9 hours at x dollars per hour and made $65.25. The equation for this is 9x = 65.25

This week she worked 14 hours at x dollars per hour and made 101.50

The equation: 14x = 101.50

What we are going to do now is set up a system of equations, just putting one on top of the other, adding the variables and constants together and solving for the variable:

9x = 65.25

14x = 101.50

becomes

9x + 14x = 65.25 + 101.50

which equals

23x = 166.75

Now divide both sides by 23 to isolate the variable and satisfy the division property of equality.

23x/23 = 166.75/23

x = 7.25

Milkela is getting paid $7.25 per hour that she works.