Question

A plane is going to travel 510 miles with a planned speed of 260 mph; however, the flight will have an average headwind of x mph the entire time meaning the plane is flying against the wind. The time, T, in hours, of the flight is a function of the speed of the plane x can be modeled by T(x)=510/260-xA. What does T(90)T(90)represent in this problem?B. At what value of x does the graph have a vertical asymptote? Explain how you know and what the vertical asymptote means in this situation.

Answer 1

Given

A plane is going to travel 510 miles with a planned speed of 260 mph; however, the flight will have an average headwind of x mph the entire time meaning the plane is flying against the wind. The time, T, in hours, of the flight, is a function of the speed of the plane x can be modeled by T(x)=510/260-x

Answer

A)

`\begin{gathered} T\mleft(x\mright)=(510)/(260-x) \\ T(90)=(510)/(260-90)=(510)/(170)=3 \end{gathered}`

B)

When x = 290 denominator is zero T(x) in infinity which is asymptotic