Final answer:
Jack would earn $53 if he works from 2:30pm to 7:00pm, calculated using the function f(x) = 10x + 8, where x represents the number of hours worked.
Step-by-step explanation:
The student's question asks how much Jack would earn if he works from 2:30pm to 7:00pm using the function f(x) = 10x + 8.
To calculate this, we first need to determine the number of hours Jack worked, which is the difference between 7:00pm and 2:30pm.
This equates to 4.5 hours. Applying the given function, we multiply the number of hours by 10 and add 8. So, Jack's earnings would be calculated as follows:
Earnings = 10 × (Hours Worked) + 8
Earnings = 10 × 4.5 + 8
Earnings = 45 + 8
Earnings = $53
Therefore, Jack would earn $53 for working from 2:30pm to 7:00pm.