Multiple Choice Question

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.

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.

y = 45x + 75

Answer 1

To determine the meaning of the initial amount in the equation \( y = 45x + 75 \), we can analyze the components:

• \( y \) represents the total amount charged in dollars.
• \( x \) represents the number of hours of repair.
• The term \( 45x \) indicates that there is a charge of $45 for each hour of repair.
• The constant term \( 75 \) represents a fixed amount charged before any hourly charges are applied.

Given this breakdown, the initial amount (the constant term) in the equation indicates a fixed charge for the repair.

Thus, the correct answer is:

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