Regina, Phil, and joseph each wrote expressions to represent their hourly earnings from 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
To find the expression for each person's hourly earnings, we need to simplify the expressions given.
Regina's expression: 6.50h + 16
Phil's expression: 3(2.5h + 5) = 7.5h + 15
Joseph's expression: 7.50h + 10
Therefore, the expressions for each person's hourly earnings are:
Regina: 6.50h + 16
Phil: 7.5h + 15
Joseph: 7.50h + 10
How many hours will phil and joseph have to work in order to make the same amount of money in one week? explain.
To find out how many hours Phil and Joseph need to work in order to make the same amount of money in one week, we need to set their expressions equal to each other and solve for h.
7.5h + 15 = 7.50h + 10
By subtracting 7.50h from both sides, we get:
7.5h - 7.50h + 15 = 7.50h - 7.50h + 10
0.00h + 15 = 0.00 + 10
15 = 10
This equation is not possible to solve because 15 does not equal 10. Therefore, Phil and Joseph cannot make the same amount of money in one week based on their given expressions.
To find their hourly earnings, you need to plug in the value of "h" into each expression. Let's calculate them step-by-step.
1. Regina's expression: 6.50h + 16
- Plug in the value of "h": (6.50 x h) + 16
2. Phil's expression: 3(2.5h + 5)
- Distribute the 3: 3 x 2.5h + 3 x 5
- Simplify: 7.5h + 15
3. Joseph's expression: 7.50h + 10
So, the expressions for their hourly earnings are as follows:
- Regina: (6.50 x h) + 16
- Phil: 7.5h + 15
- Joseph: 7.50h + 10