A computer technician charges a fixed amount for a repair plus an additional amount per hour the equation below desribes 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. The technician charges 45 a hour b.?technician charges a fixed amount of 45 for the repair c. Technician charges a fixed amount of 75 for the repair, d. Technician charged 75 a hour for the repair
The meaning of the initial amount (75) in the equation is that the technician charges a fixed amount of 75 dollars for the repair. Therefore, the correct answer is c. Technician charges a fixed amount of 75 for the repair.
The correct answer is c. The technician charges a fixed amount of $75 for the repair.
In the given equation, y represents the total amount charged by the technician in dollars, and x represents the number of hours for the repair. The term "45x" represents the additional amount charged per hour, as it is multiplied by the number of hours. However, the term "75" is added separately to represent the fixed amount charged for the repair, regardless of the number of hours.
The equation y = 45x + 75 represents the total amount charged by the computer technician based on the number of hours, x, for the repair.
To understand the meaning of the initial amount for the equation (75 in this case), we need to examine the equation y = 45x + 75.
The coefficient associated with x (45 in this case) represents the additional amount charged per hour for the repair. This means that for each hour of work, the technician charges an extra $45.
However, the initial amount (75 in this case) is not directly related to the hourly charge. It is a fixed amount that the technician charges for the repair, regardless of the number of hours it takes.
Therefore, the correct interpretation of the meaning of the initial amount (75) for the equation is:
c. The technician charges a fixed amount of $75 for the repair.