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. Brooke can paddle 5 mph and walk 10 mph. Brooke ocean kayak reaches shore here A Kono's shore /// 6 mi If she paddles along a straight line course to the shore, find an expression that computes the total time to reach lunch in terms of the location where Brooke beaches her kayak (so x = distance from A to where she lands). Be sure you remember the formula that relates Distance, Rate and Time. You're being asked for Time here. T(x) = 25 + 22 6 - 1 + 10 Find the value for æ that will minimize the total time.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
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. Brooke can paddle 5 mph and walk 10
mph.
Brooke
ocean
kayak reaches shore here
A
Kono's
shore
////
6 mi
If she paddles along a straight line course to the shore, find an expression that computes the total time to
reach lunch in terms of the location where Brooke beaches her kayak (so x = distance from A to where she
lands). Be sure you remember the formula that relates Distance, Rate and Time. You're being asked for
Time here.
T(r) =
25 + 22
6-z
5
10
Find the value for æ that will minimize the total time.
Transcribed Image Text: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. Brooke can paddle 5 mph and walk 10 mph. Brooke ocean kayak reaches shore here A Kono's shore //// 6 mi If she paddles along a straight line course to the shore, find an expression that computes the total time to reach lunch in terms of the location where Brooke beaches her kayak (so x = distance from A to where she lands). Be sure you remember the formula that relates Distance, Rate and Time. You're being asked for Time here. T(r) = 25 + 22 6-z 5 10 Find the value for æ that will minimize the total time.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Indefinite Integral
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning