Problema Solution

1. The cost, in millions of dollars, to remove x % of pollution in a lake modeled by C = 6000/200-2(x)

a. What is the cost to remove 75% of the pollutant?

b. What is the cost to remove 90% of the pollutant?

c. What is the cost to remove 99% of the pollutant?

d. For what value is this equation undefined?

Answer provided by our tutors

We have C = 6000/(200-2x).

(a)

put x = 75

C = 6000/(200-2*75) = 120 million dollars

(b)

Put x = 90:

C = 6000/(200-2*90) = 300 million dollars

(c)

C = 6000/(200-2*99) = 3000 million dollars

(d)

It is undefined for x = 100, the denominator cannot be 0.