Graph: Distance is 525. Time is 3.75

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.

1 answer

To determine the correct description of the y-intercept of the graph, we need to clarify what the axes represent:

  • Typically, in a distance vs. time graph, the y-axis represents distance, while the x-axis represents time.
  • The y-intercept occurs when time (x) is 0.

Given that the y-intercept essentially represents the distance at the starting time (which is 0), it shows the distance from the starting point (the airport) at the beginning of the journey.

Considering the options:

A. The helicopter ends its journey 525 miles away from the airport.
(This describes the end point, not the y-intercept.)

B. The helicopter takes 3.75 hours to travel to its final destination at the airport.
(This describes the total time taken, not the y-intercept.)

C. The helicopter begins its journey 525 miles away from the airport.
(This correctly describes the distance at the start of the journey, which is the y-intercept.)

D. The helicopter takes 3.75 hours to travel to its final destination away from the airport.
(This also refers to time taken, not the y-intercept.)

Thus, the correct answer is:

C. The helicopter begins its journey 525 miles away from the airport.

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