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.

Question

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 \( y \) is the total amount charged and \( x \) is the number of hours for the repair.

In this equation:

• The term \( 45x \) represents the amount charged for the hours worked, where the technician charges $45 per hour.
• The term \( 75 \) is the fixed amount charged for the repair, which does not depend on how many hours are worked.

Thus, the correct interpretation of the initial amount (75) is:

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