Question

1. Regina. Phil and Joseph each wrote expressions to represent their hourly

earnings for an after-school job where h represents the number of hours
worked. Regina: 6.50h - 16 Phil: 3(2.5h =5) Joseph: 7.50h - 10 How many hours
will Regina and Joseph have to work in order to make the same amount of money
in one week? Show your work and justify your steps (Proficient). Choose this #1 if
you want to submit a photo of your work.

Answer 1

15

Explanation:

Regina: 6.5h

Phil: 3(2.5h+5)

When you plug in the number of hours, you get the weekly pay. In order to get the same weekly pay, set the equations equal to each other.

6.5h=3(2.5h+5), This is an equation to find the number of hours it will take for them to get equal pay. Now, simplify.

6.5h=7.5h+15

-h=15

h=-15, -15 hours is your answer. You can't work negative hours though which means that Regina and Phil will never be able to make the same amount.

Phil has a higher rate and starting value, this means that Regina will never make the same amount working the same hours.