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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.)

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
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.)
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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