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The cost to remove a toxin from a lake is modeled by the function $C(p)=85−p75p $ where $C$ is the 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 $85ppb$. a. Find the cost in dollars to remove $25ppb$ of the toxin from the lake. $C=$$ (round to the nearest whole dollar) b. Find the formula for the inverse function. $p=f_{−1}(C)=$ c. Use part b. to determine how much toxin is removed for $$50,000$. $p=$ ppb (round to 2 decimal places)

Given :

Solution :

Here we have given a function that gives the cost to remove toxins from a lake. ...

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