The cost to remove a toxin from a lake is modeled 75p by the function C(p) where C is the 85 cost (in thousands of dollars) and p is the amount of toxin in a small lake (measured in parts per billion [ppb]). This model is valid only when the amount of toxin is less than 85 ppb. a. Find the cost in dollars to remove 25 ppb of the toxin from the lake. C = $ (round to the nearest whole dollar) b. Find the formula for the inverse function. p = f-'(C) c. Use part b. to determine how much toxin is removed for $40,000. p = ppb (round to 2 decimal places)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The cost to remove a toxin from a lake is modeled
75р
by the function C(p)
where C is the
85
cost (in thousands of dollars) and p is the amount
of toxin in a small lake (measured in parts per
billion [ppb]). This model is valid only when the
amount of toxin is less than 85 ppb.
a. Find the cost in dollars to remove 25 ppb of the
toxin from the lake.
C = $
(round to the nearest
whole dollar)
b. Find the formula for the inverse function.
p = f-'(C)
c. Use part b. to determine how much toxin is
removed for $40,000.
p =
ppb (round to 2 decimal
places)
Transcribed Image Text:The cost to remove a toxin from a lake is modeled 75р by the function C(p) where C is the 85 cost (in thousands of dollars) and p is the amount of toxin in a small lake (measured in parts per billion [ppb]). This model is valid only when the amount of toxin is less than 85 ppb. a. Find the cost in dollars to remove 25 ppb of the toxin from the lake. C = $ (round to the nearest whole dollar) b. Find the formula for the inverse function. p = f-'(C) c. Use part b. to determine how much toxin is removed for $40,000. p = ppb (round to 2 decimal places)
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