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:

• \( 45x \) represents the variable cost that depends on the number of hours \( x \) the technician works, where $45 is the hourly rate.
• \( 75 \) is the fixed amount that the technician charges regardless of the number of hours worked.

Therefore, the initial amount (the fixed amount) in the equation is $75.

The correct answer is:

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