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.
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.
B.
It means the technician charges a fixed amount of $45 for the repair.
Multiple Choice Question
The graph below shows the distance between a helicopter and an airport.
The graph titled distance to airport shows distance in miles on the vertical axis and time in hours in horizontal axis. The graph starts at (0, 525) and ends at the point (3.75, 0).
Which of these correctly describes the meaning of the y-intercept of the graph?
A.
The helicopter ends its journey 525 miles away from the airport.
B.
The helicopter takes 3.75 hours to travel to its final destination at the airport.
C.
The helicopter begins its journey 525 miles away from the airport.
D.
The helicopter takes 3.75 hours to travel to its final destination away from the airport.
C.
The helicopter begins its journey 525 miles away from the airport.
The correct answer is B. It means the technician charges a fixed amount of $45 for the repair.
To understand the meaning of the initial amount in the equation, let's break down the equation itself. The equation is described as y, the total amount the technician charges, in dollars, based on x hours for the repair.
The equation is in the form: y = mx + b, where m is the additional amount per hour and b is the initial amount or fixed amount charged.
Given that, we can look at the equation and all the options to determine the meaning of the initial amount.
Option A suggests that the technician charges $45 per hour for the repair, but based on the equation, this is not accurate. The initial amount represents a fixed amount, not the amount charged per hour.
Option B states that the technician charges a fixed amount of $45 for the repair. This aligns with the equation, as the initial amount in the equation represents a fixed amount. Therefore, option B is a valid interpretation of the initial amount.
Option C suggests that the technician charges a fixed amount of $75 for the repair. However, based on the equation, this option is not supported, as the equation does not involve the amount of $75.
Similar to option A, option D suggests that the technician charges $75 per hour for the repair. Since the equation does not involve the amount of $75, this option is not accurate either.
After analyzing all the options, we can conclude that option B, "It means the technician charges a fixed amount of $45 for the repair," is the correct meaning of the initial amount in the equation.