Final answer:
An equation representing the total cost (T) of a roofer's service is T = 80 + 24.35h. For 8 hours of work, the total cost would be $274.80. This includes the $80 house call fee and the hourly rate multiplied by the hours worked.
Step-by-step explanation:
The roofer's fee structure includes a fixed house call charge plus an hourly rate for the work performed. To write an equation that represents the total cost (T) of the roofing services, we can use the following linear equation:
T = 80 + 24.35h,
where T is the total cost, 80 is the fixed house call fee, 24.35 is the hourly rate, and h is the number of hours worked. To calculate the cost for the roofer to work for 8 hours, we substitute h with 8:
T = 80 + 24.35(8)
T = 80 + 194.80
T = 274.80
Thus, the total cost for the roofer to work for 8 hours would be $274.80.