Multiple Choice Question A computer technician charges a fixed amount for a repair, plus an additional amount per hour. The equation below describes y, the total amount the technician charges, in dollars, based on x hours for the repair. What is the meaning of the initial amount for the equation?

Question

Equation: y=45x+75
A. It means the technician charges $45 per hour for the repair. B. It means the technician charges a fixed amount of $45 for the repair. C. It means the technician charges a fixed amount of $75 for the repair. D. It means the technician charges $75 per hour for the repair.

Answer 1

The equation given is \( y = 45x + 75 \). In this equation, \( y \) represents the total amount charged, \( x \) represents the number of hours worked, $45 is the charge per hour, and $75 is the fixed amount charged for the repair.

The initial amount (the constant term) in the equation is $75. Therefore, it means a fixed amount that the technician charges upfront for the repair, regardless of the number of hours worked.

So, the correct answer is:

C. It means the technician charges a fixed amount of $75 for the repair.