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

Question

What is the meaning of the initial amount for the equation? A.%C2%A0 It means the technician charges $45 per hour for the repair. B.%C2%A0 It means the technician charges a fixed amount of $45 for the repair. C.%C2%A0 It means the technician charges a fixed amount of $75 for the repair. D.%C2%A0 It means the technician charges $75 per hour for the repair.

Answer 1

The equation given 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 that depends on the number of hours worked, where $45 is the charge per hour.
• The constant term \( 75 \) represents the fixed amount charged for the repair regardless of the number of hours worked.

Based on this understanding, the meaning of the initial amount (the constant term) is:

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