posted by LOST on .
1. The cost, in millions of dollars, to remove x % of pollution in a lake modeled by C= 3,000/300-3x.
Please note: x is in percent, not decimal form.
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?
e. Do the answers to sections a. through d. match your expectations? Explain why or why not.
for d, when is the denominator zero?
I will be happy to critique your thinking on this. I am uncertain what you are stuck on.
a. C = 3000 / (300 - 3x),
C = 3000 / (300 - 3*75),
C = 3000 / (300 - 225),
C = 3000 / 75 = 40M.
b. Same procedure as a.
c. Same procedure as a.
d. The Eq is undefined when the denominator equals 0:
300 - 3x = 0,
3x = 300,
X = 100%.
So the Eq is undefined when X = 100%.