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An airplane is flying 250 miles at a planned speed of 450 mph. The flight will have anaverage headwind of w miles per hour the entire time, meaning the plane is flyingdirectly against the wind. The time T, in hours, of the flight is a function of the speed ofthe headwind w. in mph, and can be modeled by the function T (w)= 250/450-wA. What does T110) mean in the context of this situation?B. At what value of w does the graph have a vertical asymptote? Explain how you know and what this asymptote means in the context of this situation.

An airplane is flying 250 miles at a planned speed of 450 mph. The flight will have anaverage headwind of w miles per hour the entire time, meaning the plane is class=

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Write out the function

The function that modeled the traveng time is

[tex]T(w)=\frac{250}{450-w}[/tex]

A). T (110) means

[tex]\text{The value of t when w=110}[/tex]

Relating to this context,

This Implies that the time time traveling time of the airplane when the headwind speed his 110mph

B). The vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function.

Hence to obtain the vertical asymptotes, we equate the denominator to zero.

[tex]\begin{gathered} 450-w=0 \\ \text{Then} \\ w=450 \end{gathered}[/tex]

Hence the verticcal asymptotes is at w=450

In context of this situation, i means that as the Headwind speed approaches 450mph, the traveling tine time t approaches infinity.

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