An island is 6 mi from the nearest point on a straight shoreline; that point is 12 mi from a power station (see figure). A Utility company plans to lay electrical cable underwater from the island to the shore and then underground along the shore to the power station. Assume that is costs $2600/mi to lay cable underwater and $1300/mi to lay underground cable. At what point should the underwater cable meet the shore to minimize the cost of the project? Island 6 mi Cable 12 mi Power Station Let x be the distance from the shoreline closest to the island and the point where the cable leaves the shore. The cost is minimized when x is mi. (Type an exact answer.)
An island is 6 mi from the nearest point on a straight shoreline; that point is 12 mi from a power station (see figure). A Utility company plans to lay electrical cable underwater from the island to the shore and then underground along the shore to the power station. Assume that is costs $2600/mi to lay cable underwater and $1300/mi to lay underground cable. At what point should the underwater cable meet the shore to minimize the cost of the project? Island 6 mi Cable 12 mi Power Station Let x be the distance from the shoreline closest to the island and the point where the cable leaves the shore. The cost is minimized when x is mi. (Type an exact answer.)
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 503E: The length a spring stretches varies directly with a weight placed at the end of the spring. When...
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![An island is 6 mi from the nearest point on a straight shoreline; that point is 12 mi from a power station
(see figure). A Utility company plans to lay electrical cable underwater from the island to the shore and
then underground along the shore to the power station. Assume that is costs $2600/mi to lay cable
underwater and $1300/mi to lay underground cable. At what point should the underwater cable meet the
shore to minimize the cost of the project?
Island
6 mi
Cable
12 mi
Power
Station
..
Let x be the distance from the shoreline closest to the island and the point where the cable
leaves the shore.
The cost is minimized when x is mi.
(Type an exact answer.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93724627-c7b6-406b-9a00-d0dcd2c570ce%2Fe7e3e68f-21e0-4765-b8dd-17382104cf2a%2Faowmzoq_processed.png&w=3840&q=75)
Transcribed Image Text:An island is 6 mi from the nearest point on a straight shoreline; that point is 12 mi from a power station
(see figure). A Utility company plans to lay electrical cable underwater from the island to the shore and
then underground along the shore to the power station. Assume that is costs $2600/mi to lay cable
underwater and $1300/mi to lay underground cable. At what point should the underwater cable meet the
shore to minimize the cost of the project?
Island
6 mi
Cable
12 mi
Power
Station
..
Let x be the distance from the shoreline closest to the island and the point where the cable
leaves the shore.
The cost is minimized when x is mi.
(Type an exact answer.)
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