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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.

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.

1 answer

The equation given is \( y = 45x + 75 \).

In this equation:

  • \( 45 \) is the amount charged per hour (\( x \)).
  • \( 75 \) is the fixed amount charged regardless of the number of hours worked.

Therefore, the initial amount in the equation, which is \( 75 \), represents the fixed charge for the repair.

The correct answer is:

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