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. y=45x+75
What is the meaning of the initial amount for the equation?
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 \( y = 45x + 75 \), where:

- \( y \) represents the total amount charged by the technician,
- \( x \) represents the number of hours worked,
- \( 45x \) represents the hourly charge (with $45 being the charge per hour),
- \( 75 \) is the initial amount charged, which is a fixed fee.

The initial amount, which is the constant term in the equation (75), indicates the fixed amount charged for the repair regardless of the hours worked.

Thus, the correct answer is:

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