Question

An electrician charges $20 for service calls plus $24.50 per hour. The function c=24.5h+20 represents the total cost c (not including parts) for a job that takes h hours to complete. If Caleb hired the electrician for a job that took 2.4 hours and Josephine hired the electrician for a job that lasted 3 hours, how much more did Josephine pay for the service call and labor charge? Josephine paid $ _ more than Caleb for the service call and labor charge.

Answer 1

Josephine paid $14.7 more than Caleb for the service call and labor charge.

Step-by-step explanation:

In order to find out how much more Josephine paid compared to Caleb, we need to calculate the total cost for each of them.

For Caleb, who hired the electrician for a job that took 2.4 hours, the total cost can be calculated using the equation c = 24.5h + 20. Substituting h = 2.4, we have c = 24.5(2.4) + 20 = 58.8 + 20 = 78.8. Therefore, Caleb paid $78.8 for the service call and labor charge.

Similarly, for Josephine, who hired the electrician for a job that took 3 hours, the total cost can be calculated by substituting h = 3 in the equation c = 24.5h + 20. Therefore, c = 24.5(3) + 20 = 73.5 + 20 = 93.5. Therefore, Josephine paid $93.5 for the service call and labor charge.

To find out how much more Josephine paid compared to Caleb, we subtract Caleb's total cost from Josephine's total cost: 93.5 - 78.8 = $14.7.