25 - Cost-Benefit.pdf

# 25 - Cost-Benefit.pdf - Name Rational Functions...

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Name: __________________________ Rational Functions Cost-Benefit One business situation where mathematics is used is determining whether the cost of taking an action has a reasonable value or benefit. In this activity we will look at the cost versus benefit of extracting a precious ore. Suppose that the cost, in millions of dollars, of extracting x percent of a precious ore from a mine is given by the function ( ) 6.3 100 x C x x = . A. Verify that ( ) 25 2.1 C = (showing work) and interpret, including units, in the context of the problem. B. Determine the cost of extracting 45% of the ore from the mine. C. Complete the following table of values for the cost of extracting x percent of the precious ore: Percent ( x ) 0 10 20 30 40 50 60 70 80 90 100 Cost D. Explain, using complete sentences, the result of the table.

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