Question
The graph below shows the distance between a helicopter and an airport.
The graph shows the points (3.75, 525)
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.
The graph shows the points (3.75, 525)
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.
Answers
GPT-4o mini
To interpret the y-intercept of the graph, we need to understand what the y-axis represents. The y-intercept typically indicates the value of the dependent variable (in this case, the distance between the helicopter and the airport) when the independent variable (which is likely time in hours) is zero.
If we assume that the y-axis represents distance in miles and the x-axis represents time in hours, the y-intercept would be the distance from the airport when the time is zero (meaning at the start of the journey).
Given this context, let's analyze the options:
A. "The helicopter ends its journey 525 miles away from the airport." - This does not describe the y-intercept but rather a final position.
B. "The helicopter takes 3.75 hours to travel to its final destination at the airport." - This describes a potential time-related point, not the y-intercept.
C. "The helicopter begins its journey 525 miles away from the airport." - This describes the situation at the start when time is zero, which aligns with the meaning of the y-intercept.
D. "The helicopter takes 3.75 hours to travel to its final destination away from the airport." - Again, this relates to time and does not address the y-intercept.
Therefore, the correct answer is:
**C. The helicopter begins its journey 525 miles away from the airport.**
If we assume that the y-axis represents distance in miles and the x-axis represents time in hours, the y-intercept would be the distance from the airport when the time is zero (meaning at the start of the journey).
Given this context, let's analyze the options:
A. "The helicopter ends its journey 525 miles away from the airport." - This does not describe the y-intercept but rather a final position.
B. "The helicopter takes 3.75 hours to travel to its final destination at the airport." - This describes a potential time-related point, not the y-intercept.
C. "The helicopter begins its journey 525 miles away from the airport." - This describes the situation at the start when time is zero, which aligns with the meaning of the y-intercept.
D. "The helicopter takes 3.75 hours to travel to its final destination away from the airport." - Again, this relates to time and does not address the y-intercept.
Therefore, the correct answer is:
**C. The helicopter begins its journey 525 miles away from the airport.**