Question

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.

Answer 1

Answer:

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

Step-by-step explanation:

Given

$w = headwind$

$T = time$

Model:

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

Required

What does T(110) means

First, we calculate T(110):

Substitute 110 for w in $T(w) = \frac{300}{530 - W}$

The expression becomes

$T(110) = \frac{300}{530 - 110}$

$T(110) = \frac{300}{420}$

$T(110) = 0.714$ -- approximated

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