Question

Tim is a handyman. Tim charges $75 per hour, plus a fixed fee of $100 for each service call, as represented by the function f(x) = 75x + 100. In the equation, what is represented by the variable "x"?

A. The fixed fee for the service call
B. The total cost of the repair job
C. The number of hours Tim worked
D. The amount Tim charged per hour

Answer 1

In the equation representing Tim's handyman service charges, 'x' signifies the number of hours worked. The total charge is calculated based on both a fixed fee and the hourly rate represented by the equation's constant and coefficient, respectively.

Step-by-step explanation:

In the function f(x) = 75x + 100 that represents Tim's charges for his handyman service, the variable x represents the number of hours Tim worked. The fixed fee for the service call is represented by the number 100, and this is a constant amount that does not change. The amount Tim charges per hour for his labor is $75, which is the coefficient of the variable x in the equation. So, the total cost of the repair job (f(x)) changes depending on the number of hours worked (x).