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Math Help - Word Problem

  1. #1
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    Kansas, USA
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    Word Problem

    Word Problem-mmm.jpg

    I don't know, it should be easy, but I'm struggling. Some guidance as to how to obtain the function would be appreciated.

    Thanks for any help in advance.
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  2. #2
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    Normal, IL USA
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    Re: Word Problem

    My first thought would be to draw a diagram.

    The problem says the oil well is 4 km offshore. I assume that's the shortest distance, so a vector from the refinery to the "nearest point" would form a right angle with the short. I assume you know why? Suppose it formed some other angle, then what?

    Most shorelines are not straight lines, but I think you're supposed to assume that this one is. That means we have a right triangle, 4 km one side, 11 km another, and then the hypotenuse. How long is that? How much would it cost to build a pipeline along the hypotenuse? Probably not the lowest cost. Now suppose you built the pipeline 4 km + 11 km, maximum distance on land. How much would that cost? And finally, what if you picked an intermediate point?
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  3. #3
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    Re: Word Problem

    Yeah, I took a step back, took a break, came back with a clear head and drew a diagram!

    All sorted now, thanks for the help.
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