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
B. It means the technician charges a fixed amount of $45 for the repair.
The correct answer is B. It means the technician charges a fixed amount of $45 for the repair.
In the equation, y represents the total amount the technician charges, and x represents the number of hours for the repair. The term 75 in the equation represents the fixed amount the technician charges for the repair, independent of the number of hours. The term 45x represents the additional amount charged per hour, which varies based on the number of hours spent on the repair.
To determine the meaning of the initial amount in the equation, let's break down the equation and understand its components.
The given equation is y = 45x + 75, where y represents the total amount charged by the technician and x represents the number of hours for the repair.
In this equation, the initial amount is represented by the constant term, which is 75.
To understand the meaning of the initial amount, we need to identify what it corresponds to in the real-world context.
Here, the initial amount of $75 represents the fixed amount the technician charges for the repair. This means that regardless of the number of hours required, the technician charges a fixed fee of $75 for the repair.
Therefore, the answer is option C. It means the technician charges a fixed amount of $75 for the repair.