A paved road runs east through the desert into a town. A dunebuggy is located 5 miles west and 2 miles south of the town, in the desert. (A dunebuggy is sort of a car made to go on dirt.) The buggy can travel 30 mph in the desert, and 50 mph on the road. Find the route that gets it into town the fastest. In particular, in the picture below find the value of x that results in the fastest route for the dunebuggy. 5mi Road Town 2mi Route Buggy

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...
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A paved road runs east through the desert into a town. A dunebuggy is located
5 miles west and 2 miles south of the town, in the desert. (A dunebuggy is sort
of a car made to go on dirt.) The buggy can travel 30 mph in the desert, and 50
mph on the road. Find the route that gets it into town the fastest. In particular,
in the picture below find the value of x that results in the fastest route for the
dunebuggy.
5mi
Road
Town
2mi
Route
Buggy
Transcribed Image Text:A paved road runs east through the desert into a town. A dunebuggy is located 5 miles west and 2 miles south of the town, in the desert. (A dunebuggy is sort of a car made to go on dirt.) The buggy can travel 30 mph in the desert, and 50 mph on the road. Find the route that gets it into town the fastest. In particular, in the picture below find the value of x that results in the fastest route for the dunebuggy. 5mi Road Town 2mi Route Buggy
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