A plane travels 2,000 kilometers at a 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 t(x)= 2,000/900+x. What is the meaning of the y-intercept for this function?

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11-12-2019
Mathematics

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A plane travels 2,000 kilometers at a 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 t(x)= 2,000/900+x. What is the meaning of the y-intercept for this function?

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frika frika · Answer 1 · 2019-12-18T12:57:18+01:00

Answer:

The meaning of the y-intercept is the time needed for the plane to cover 2,000 kilometers at a a speed of 900 kilometers per hour (kph) with no wind.

Step-by-step explanation:

The time it takes the plane to travel 2,000 kilometers with the tailwind, t(x), is defined by the function

[tex]t(x)=\dfrac{2,000}{900}+x,[/tex]

where x is the increase in speed when the plane travels with the wind (tailwind).

The y-intercept is at x = 0, then

[tex]t(0)=\dfrac{2,000}{900}+x\\ \\t(0)=\dfrac{20}{9}=2 \dfrac{2}{9}\ hours[/tex]

The meaning of [tex]2 \dfrac{2}{9}[/tex] hours is the time needed for the plane to cover 2,000 kilometers at a a speed of 900 kilometers per hour (kph) with no wind.

angieherrera0708 angieherrera0708 · Answer 2 · 2020-05-02T22:44:41+02:00

angieherrera0708 angieherrera0708

02-05-2020

Answer:

i think it is a in edge

Step-by-step explanation:

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