A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 12 mi from a restaurant on the shore. A woman plans to row the boat straight to a point on the shore and then walk along the shore to the restaurant. Complete parts (a) and (b) below. 5 mi 12mi- a. If she walks at 3 mi/hr and rows at 2 mi/hr, at which point on the shore should she land to minimize the total travel time? Let x be the distance between the nearest point on shore and the point she lands on shore. If T is the time it takes her to get to the restaurant, what is the objective function? T=O (Type an expression.) The interval of interest of the objective function is D. (Simplify your answer. Type your answer in interval notation.) To minimize the total travel time, the boat should land miles from the restaurant. (Type an exact answer, using radicals as needed.)
A boat on the ocean is 5 mi from the nearest point on a straight shoreline; that point is 12 mi from a restaurant on the shore. A woman plans to row the boat straight to a point on the shore and then walk along the shore to the restaurant. Complete parts (a) and (b) below. 5 mi 12mi- a. If she walks at 3 mi/hr and rows at 2 mi/hr, at which point on the shore should she land to minimize the total travel time? Let x be the distance between the nearest point on shore and the point she lands on shore. If T is the time it takes her to get to the restaurant, what is the objective function? T=O (Type an expression.) The interval of interest of the objective function is D. (Simplify your answer. Type your answer in interval notation.) To minimize the total travel time, the boat should land miles from the restaurant. (Type an exact answer, using radicals as needed.)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.8: Proof In Algebra
Problem 1ST
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Transcribed Image Text:b. If she walks at 3 mi/hr, find the minimum speed at which she must row so that the quickest way to the
restaurant is to row directly (with no walking)?
The minimum speed she must row is
(Type an exact answer, using radicals as needed.)
mi/hr.
Transcribed Image Text:A boat on the ocean is 5 mi from the nearest point on a straight
shoreline; that point is 12 mi from a restaurant on the shore. A woman
plans to row the boat straight to a point on the shore and then walk
along the shore to the restaurant. Complete parts (a) and (b) below.
5 mi
12mi
a. If she walks at 3 mi/hr and rows at 2 mi/hr, at which point on the shore should she land to minimize the total
travel time?
Let x be the distance between the nearest point on shore and the point she lands on shore. If T is the time it
takes her to get to the restaurant, what is the objective function?
T=
(Type an expression.)
The interval of interest of the objective function is.
(Simplify your answer. Type your answer in interval notation.)
To minimize the total travel time, the boat should land
miles from the restaurant.
(Type an exact answer, using radicals as needed.)
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