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The Sea Kayak Problem: Brooke is located 5 miles out from the nearest point A along a straight shoreline in her sea kayak. Hunger

 

The Sea Kayak Problem: Brooke is located 5 miles out from the nearest point A along a straight shoreline in her sea kayak. Hunger strikes and she wants to make it to Kono's for lunch; see picture. Brook can paddle 2 mph and walk 4 mph. a) Determine the total time to reach Kono's if she paddles directly to point A and then travels overland. b) Determine the total time to reach Kono's if she paddles directly to Kono's. c) Determine the total time to reach Kono's if she paddles directly to a point on the shore halfway between point A and Kono's. How does this time compare to the times in parts (a) and (b)? d) If she paddles straight to a point on shore that is x miles from point A, find an expression in terms of x that computes the total time to reach Kono's.

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