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Multiple Choice 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. 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:

  • \( 45x \) represents the variable cost, which is the amount charged per hour ($45 per hour).
  • The constant term \( 75 \) represents the fixed amount charged regardless of the hours worked.

Thus, the meaning of the initial amount in the equation (the fixed amount) is:

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