Question

cities and companies find that the cost of pollution control increases along with the percentage of pollutants to be removed in a situation. suppose that the cost c, in dollars, of removing p% of the pollutants from a chemical spill is given below. complete parts (a) through (d).
c(p)=\frac{32000}{100 - p}
(a) find ( c(0), c(20), c(80) ), and ( c(90) ).
( c(0)=$ 320 ) (round to the nearest whole number as necessary. simplify your answer.)
( c(20)=$ ) (round to the nearest whole number as necessary. simplify your answer.)

Explanation:

Step1: Substitute \(p = 20\) into the formula

We have the formula \(C(p)=\frac{32000}{100 - p}\). When \(p = 20\), we substitute \(p\) into the formula: \(C(20)=\frac{32000}{100-20}\)

Step2: Simplify the denominator

First, calculate \(100 - 20=80\). So the formula becomes \(C(20)=\frac{32000}{80}\)

Step3: Calculate the value

\(\frac{32000}{80}=400\)

Answer:

\(C(20)=400\)