Kai is on an island 3 miles from the nearest point on a straight shoreline of the ocean, a town lies 10 miles down the shore from that point. Kai will row to shore and then run down the shore to the town. She wants to minimize the time spent traveling. If she rows at 3 mph and runs at 5 mph determine the point on the shore, she should land to reach the town in the least amount of time. Round the solutions to two decimal places. a. Define the variable(s) and state the objective function b. What is the interval of interest (domain) For your objective function? c. What is the minimum time it will take Kai to reach the town?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.4: Quadratic Equations And Applications
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Kai is on an island 3 miles from the nearest point on a straight shoreline of the ocean, a town lies 10 miles down the shore from that point. Kai will row to shore and then run down the shore to the town. She wants to minimize the time spent traveling. If she rows at 3 mph and runs at 5 mph determine the point on the shore, she should land to reach the town in the least amount of time. Round the solutions to two decimal places. 

a. Define the variable(s) and state the objective function

b. What is the interval of interest (domain) For your objective function?

c. What is the minimum time it will take Kai to reach the town?

 

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if she uses a motorboat to travel from the island to the shore at a speed of 22 mph, where should she exit the water and what is the minimum time it would take to reach town?

 

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This was just cut and pasted from an earlier solution - which we do not think was right. Please rework this again and do not cut and paste from previous answer. If it was wrong the first time it will still be wrong now.

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