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
At what value of w does the graph have a vertical asymptote ? Explain what this asymptote means in this situation.