Answer: The graph is attached.
Step-by-step explanation:
We must design a graph so that the x-axis represents the Time in hours and the y-axis represents the Height in feet.
The plane takes off from this point:
[tex]A(0,0)[/tex].
We know that the plane climbs steadily for 30 minutes (which is 0.5 hours) until it reaches 40000 feet. Then, we can identify another point; this is:
[tex]B(0.5,\ 40000)[/tex]
It travels at that altitude for 2 hours (which indicates a horizontal line) and then it begins to descend to land, giving us another point:
[tex]C(2.5\ 40000)[/tex]
This takes 15 minutes (which is 0.25 hours) at a constant rate. Then, we get a final point:
[tex]D(2.75,\ 0)[/tex]
Knowing these points, we can draw the graph (Observe the image attached)