After winning the lottery, you decide to buy your own island. The island is located 1 km offshore from a straight portio

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After Winning The Lottery You Decide To Buy Your Own Island The Island Is Located 1 Km Offshore From A Straight Portio 1 (120.32 KiB) Viewed 62 times

After winning the lottery, you decide to buy your own island. The island is located 1 km offshore from a straight portion of the mainland. There is currently no source of electricity on the island, so you want to run a cable from the mainland to the island. An electrical power sub-station is located 4 km from your island's nearest location to the shore. It costs $90,000 per km to lay a cable in the water and $60,000 per km to lay a cable over the land. power This answer has not been graded yet. ocean 4 km (a) Explain why we can assume the cable follows the path indicated in the picture; i.e., explain why the path consists of two line segments, rather than a weird curved path AND why it is OK to assume the cable reaches shore to the right of the power station and the left of the island. X 0 1 (b) Let x be the distance downshore from the power sub-station to where the cable reaches the land. Find a function f(x) in the variable x that computes the cost to lay a cable out to your island. f(x) = 2 (c) Make a table of values of f(x), where x = 0, 1,1,2,2,..., 3 4 cable path. your island 371079.5 f(x) km 1 km X 글 4. (Round your answers to one decimal place.) Use these calculations to estimate the installation of minimal cost. X =