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 \( y = 45x + 75 \).

In this equation:

• \( x \) represents the number of hours worked.
• \( 45x \) indicates that the technician charges $45 for each hour of repair work.
• The constant \( 75 \) represents a fixed initial amount that is charged regardless of the number of hours worked.

Therefore, the initial amount of $75 signifies the fixed amount charge for the repair.

The correct answer is:

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