Question: A driver's average speed is 50 miles per hour on a round trip between two cities 100 miles apart. The average speeds for going and

A driver's average speed is 50 miles per hour on a round trip between two cities 100 miles apart. The average speeds for going and returning were x and y miles per hour, respectively.
(a) Show that y = 25x / x - 25.
(b) Determine the vertical and horizontal asymptotes of the graph of the function.
(c) Use a graphing utility to graph the function.
(d) Complete the table.

(e) Are the results in the table what you expected? Explain.
(f) Is it possible to average 20 miles per hour in one direction and still average 50 miles per hour on the round trip? Explain.

45 | 50 | 55 60 30 35 |

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