Speed in flight versus length: Table 5.3 gives the length L, in inches, of a flying animal and its maximum speed F , in feet per second, when it flies.27 (For comparison, 10 feet per second is about...

Speed in flight versus length: Table 5.3 gives the length L, in inches, of a flying animal and its maximum speed F , in feet per second, when it flies.27 (For comparison, 10 feet per second is about 6.8 miles per hour.)

a. Judging on the basis of this table, is it generally true that larger animals fly faster?

b. Find a formula that models F as a power function of L.

 c. Make the graph of the function in part b.

 d. Is the graph you found in part c concave up or concave down? Explain in practical terms what your answer means.

e. If one bird is 10 times longer than another, how much faster would you expect it to fly? (Use the homogeneity property of power functions.)