Answer: Jack's payment is $53 (per day of work)
Step-by-step explanation:
The equation that describes how much Jack is paid is:
f(x) = $8 + $10*x
Where x is the number of hours that he works.
If he works from 2:30pm to 7:00 pm, then the number of hours that he worked is equal to the difference between these times, but first let's convert them into only hours:
2:30 = 2 hours and 30 minutes
remember that one hour has 60 minutes.
Then 30 minutes = 0.5 hours
2:30 = 2.5 hours.
7:00 = 7 hours.
Then the number of hours that Jack worked is:
7h - 2.5h = 4.5h
Then just replace x by 4.5 in the equation f(x):
f(4.5) = $10*4.5 + $8 = $53
Jack's payment is $53 (per day of work).