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 you provided is \( y = 45x + 75 \), where \( y \) is the total amount charged and \( x \) is the number of hours worked.

In this equation:

• The term \( 45x \) represents the variable cost based on the number of hours worked, with $45 being the charge per hour.
• The constant term \( 75 \) represents the fixed amount charged regardless of the number of hours worked.

Thus, the initial amount (the constant term) in the equation is $75.

Therefore, the correct answer is:

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