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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 \( y = 45x + 75 \), where:

  • \( y \) is the total amount charged in dollars,
  • \( x \) is the number of hours worked,
  • \( 45x \) represents the additional amount the technician charges per hour (i.e., $45 per hour),
  • \( 75 \) is the fixed amount charged for the repair, regardless of the number of hours.

Thus, the initial amount of $75 represents the fixed cost of the repair.

So, the correct answer is:

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