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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