Question

A plane travels 2,000 kilometers at a speed of 900 kilometers per hour (kph) with no wind. When a tailwind is present, the plane’s speed increases by x kilometers per hour. The time it takes the plane to travel the same distance with the tailwind, t(x), is defined by the function . What is the meaning of the y-intercept for this function?

Answer 1

A. the time it takes the plane to travel without the tailwind

Explanation:

Correct on Edge 2021

Answer 2

In order to interpret that function, first, we have to construct it. It takes
`t= (2000)/(900) = (20)/(9)` hours for the plane to travel with no wind. When speed increases because of a tailwind, time decreases accordingly. So that, time is now equal to
`t= (2000)/(900+x)`. A general formula for time is
`t(x)= (2000)/(900+x)`

Interpretation of the y-intercept is that when x=0, it is the case of without tailwind when it takes
`t= (20)/(9)` hours to complete the travel