Answered

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A plane is going to fly 300 miles at a planned speed of 530 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time

Tin hours of the flight is a function of the speed of the headwind w, in mph, and can be modeled by

300

T(W) =

530-W


I need help with the bottom part. What does t(110) mean I’m this situation etc.

Sagot :

MrRoyal

Answer:

T(100) represents that the plane flies against the wind at 110mph for 0.714 hours

Step-by-step explanation:

Given

[tex]w = headwind[/tex]

[tex]T = time[/tex]

Model:

[tex]T(w) = \frac{300}{530 - W}[/tex] -- This was not properly presented in your question

Required

What does T(110) means

First, we calculate T(110):

Substitute 110 for w in [tex]T(w) = \frac{300}{530 - W}[/tex]

The expression becomes

[tex]T(110) = \frac{300}{530 - 110}[/tex]

[tex]T(110) = \frac{300}{420}[/tex]

[tex]T(110) = 0.714[/tex] -- approximated

T(100) represents that the plane flies against the wind at 110mph for 0.714 hours

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