Midterm Review Problem 19: A boat on the ocean is 3 miles from the nearest point on a straight shoreline. The point on the shoreline is 8 miles from a restaurant on the shore. A woman plans to row the boat straight to a point on the shore and then wealk along the shore to the restaurant. Her speed when rowing the boat is 3 miles per hour. Her speed walking is 4 miles per hour. rowing distance 3mi restaurant 8 mi. a) Find a function that models the total time for the trip in terms of x where x is the distance shown in the diagram. b) Determine the value of x that minimizes the total time. You may use a graphing utility for this. If necessary, round to three decimal places. c) What is the minimum possible total time for the trip? You may use a graphing uitility. If necessary, round to three decimal places. Remember to include units!
Midterm Review Problem 19: A boat on the ocean is 3 miles from the nearest point on a straight shoreline. The point on the shoreline is 8 miles from a restaurant on the shore. A woman plans to row the boat straight to a point on the shore and then wealk along the shore to the restaurant. Her speed when rowing the boat is 3 miles per hour. Her speed walking is 4 miles per hour. rowing distance 3mi restaurant 8 mi. a) Find a function that models the total time for the trip in terms of x where x is the distance shown in the diagram. b) Determine the value of x that minimizes the total time. You may use a graphing utility for this. If necessary, round to three decimal places. c) What is the minimum possible total time for the trip? You may use a graphing uitility. If necessary, round to three decimal places. Remember to include units!
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:Midterm Review
Problem 19: A boat on the ocean is 3 miles from the nearest point on a straight shoreline. The point on
the shoreline is 8 miles from a restaurant on the shore. A woman plans to row the boat straight to a
point on the shore and then wealk along the shore to the restaurant.
Her speed when rowing the boat is 3 miles per hour.
Her speed walking is 4 miles per hour.
rOwing distance
3mi
restaurant
8 mi.
a) Find a function that models the total time for the trip in terms of x where x is the distance
shown in the diagram.
b) Determine the value of x that minimizes the total time. You may use a graphing utility for this.
If necessary, round to three decimal places.
c) What is the minimum possible total time for the trip? You may use a graphing uitility. If
necessary, round to three decimal places. Remember to include units!
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