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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).