Answer:
Disagree
On weeks when Joseph works extra 2/3 hours more than Phil, Phil and Joseph can earn the same amount of money
Step-by-step explanation:
The given expression for the hourly earnings of Regina, Phil and Joseph are as follows;
Regina: 6.50·h + 16
Phil: 3·(2.5·H + 5)
Joseph: 7.50·h + 10
The number of hours worked = h
The hourly earnings for Phil equated to the hourly earnings of Joseph gives;
3·(2.5·H + 5) = 7.50·h + 10
Simplifying we get;
3 × 2.5·h + 3 × 5 = 7.50·h + 10
7.5·h + 15 = 7.50·h + 10
Which gives
15 = 10 + 5 = 10 which is not correct.
Therefore, when both Phil and Joseph works the same number of hours, in the week, Phil will earn 5 units more Joseph
However, we have that, where Joseph works extra 5/7.5 or 2/3 hours more than Phil, every week, they will earn the same amount of money every week.
Therefore, it is possible for Phil and Joseph to earn the same amount of money when Joseph works extra 2/3 hours more than Phil which gives;
On weeks when Joseph works extra 2/3 hours more than Phil, Phil and Joseph can earn the same amount of money.
