Question: An island is 2 miles from the nearest point P on a straight shoreline. A town is 12 miles down the shore from P. See

An island is 2 miles from the nearest point P on a straight shoreline. A town is 12 miles down the shore from P. See the illustration.

Town EE d2 12 - х — —х — - 12 mi- Island - 2 mi-

(a) If a person can row a boat at an average speed of 3 miles per hour and the same person can walk 5 miles per hour, build a model that expresses the time T that it takes to go from the island to town as a function of the distance x from P to where the person lands the boat.

(b) What is the domain of T?

(d) How long will it take if the person lands the boat 8 miles from P?

Town EE d2 12 - - 12 mi- Island - 2 mi-

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