Suppose that in order to remove x% of the pollution from an oil spill, it costs C thousands of dollars where C(x)=9x100−x. How much does it cost to remove 25% of the pollution? thousand dollars.

Question

 Suppose that in order to remove x% of the pollution from an oil spill, it costs C thousands of dollars where C(x)=9x/(100−x).

How much does it cost to remove 25% of the pollution? ______ thousand dollars.

How much does it cost to remove 50% of the pollution?  ______thousand dollars.

What value does C(x) go to as x goes to 100 from the left? Enter I for ∞ and −I for −∞. 

Answer 1

C(x)=9x/(100-x)

C(25) = 9(25)/(75 = 3 (in thousands).

C(50) = 9(50)/50 = 9 (in thousands)

To remove all the pollution perhaps we can find C(100).

C(100) = 9(100/0 (whoops, cannot divide by zero, the graph has a vertical asymptote at x = 100).

What about C(99.9) or C(99.999)? That is what is being asked for the last part of this question.

Check here to confirm:

desmos.com/calculator/tbcdcdcvn4