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) = $ 400 (round to the nearest whole number as necessary. simplify your answer.)

c(80) = $ 1600 (round to the nearest whole number as necessary. simplify your answer.)

c(90) = $ \square (round to the nearest whole number as necessary. simplify your answer.)

Explanation:

Step1: Substitute \(p = 90\) into the function \(C(p)=\frac{32000}{100 - p}\)

$$C(90)=\frac{32000}{100 - 90}$$

Step2: Simplify the denominator

$$100-90 = 10$$

Step3: Calculate the value of the function

$$C(90)=\frac{32000}{10}=3200$$

Answer:

\(C(90)=\$3200\)