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Industrial costs A power plant sits next to a river where the river is 800 ft wide. To lay a new cable from the plant to a loca- tion in the city 2 mi downstream on the opposite side costs $180 per foot across the river and $100 per foot along the land. -2 mi- City P _x 800 ft | Power plant NOT TO SCALE a. Suppose that the cable goes from the plant to a point Q on the opposite side that is x ft from the point P directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the distance x. b. Generate a table of values to determine if the least expensive location for point Q is less than 2000 ft or greater than 2000 ft from point P.

Industrial costs A power plant sits next to a river where the river is 800 ft wide. To lay a new cable from the plant to a loca- tion in the city 2 mi downstream on the opposite side costs $180 per foot across the river and $100 per foot along the land. -2 mi- City P _x 800 ft | Power plant NOT TO SCALE a. Suppose that the cable goes from the plant to a point Q on the opposite side that is x ft from the point P directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the distance x. b. Generate a table of values to determine if the least expensive location for point Q is less than 2000 ft or greater than 2000 ft from point P.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 9E
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Industrial costs A power plant sits next to a river where the river is 800 ft wide. To lay a new cable from the plant to a loca- tion in the city 2 mi downstream on the opposite side costs $180 per foot across the river and $100 per foot along the land. -2 mi- City P _x 800 ft | Power plant NOT TO SCALE a. Suppose that the cable goes from the plant to a point Q on the opposite side that is x ft from the point P directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the distance x. b. Generate a table of values to determine if the least expensive location for point Q is less than 2000 ft or greater than 2000 ft from point P.
Transcribed Image Text:Industrial costs A power plant sits next to a river where the river is 800 ft wide. To lay a new cable from the plant to a loca- tion in the city 2 mi downstream on the opposite side costs $180 per foot across the river and $100 per foot along the land. -2 mi- City P _x 800 ft | Power plant NOT TO SCALE a. Suppose that the cable goes from the plant to a point Q on the opposite side that is x ft from the point P directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the distance x. b. Generate a table of values to determine if the least expensive location for point Q is less than 2000 ft or greater than 2000 ft from point P.
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