Question 169673This question is from textbook Elementary and Intermediate Algebra, 3e
: Toxic pollutants. The annual cost in dollars for removing
p% of the toxic chemicals from a town’s water supply is
given by the formula
C(p)= 500,000/100-p
.
a) Use the accompanying graph to estimate the cost for
removing 90% and 95% of the toxic chemicals.
b) Use the formula to find C(99.5) and C(99.9).
c) What happens to the cost as the percentage of
pollutants removed approaches 100%?
What happens to the cost as the percentage of
pollutants removed approaches 100%?
This question is from textbook Elementary and Intermediate Algebra, 3e
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! C(p)= 500000/(100-p)
.
a) Use the accompanying graph to estimate the cost for
removing 90% and 95% of the toxic chemicals.
At 90%
C(90)= 500000/(100-90)
C(90)= 500000/10
C(90)= $50,000
.
At 95%
C(95)= 500000/(100-95)
C(95)= 500000/5
C(95)= $100,000
.
b) Use the formula to find C(99.5) and C(99.9).
At 99.5%
C(99.5)= 500000/(100-99.5)
C(99.5)= 500000/.5
C(99.5)= $1,000,000
.
At 99.9%
C(99.9)= 500000/(100-99.9)
C(99.9)= 500000/0.1
C(99.9)= $5,000,000
.
c) What happens to the cost as the percentage of
pollutants removed approaches 100%?
As it approaches 100%, the denominator goes to zero -- causing C(p) to become undefined -- or, reach an infinitely high cost.
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