You are in a boat 2 miles from the nearest point on the coast (see figure). You plan to travel to point Q, 3 miles down the coast and 1 mile inland. You row at 2 miles per hour and walk at 4 miles per hour.

(a) Write the total time T (in hours) of the trip as a function of the distance x (in miles).
(b) Determine the domain of the function.
(c) Use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.
(d) Find the value of x that minimizes T.
(e) Write a brief paragraph interpreting these values.

2 mi ! mi - 3 mi Not drawn to scale