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?

Respuesta :

In order to interpret that function, first, we have to construct it. It takes [tex]t= \frac{2000}{900} = \frac{20}{9} [/tex] 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 [tex]t= \frac{2000}{900+x} [/tex]. A general formula for time is [tex]t(x)= \frac{2000}{900+x} [/tex]

Interpretation of the y-intercept is that when x=0, it is the case of without tailwind when it takes [tex]t= \frac{20}{9} [/tex] hours to complete the travel   

Answer:

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

Step-by-step explanation:

Correct on Edge 2021