In cost in millions of dollars to remove x% of pollution is a lake modeled by C=5,000 over 200-2x.
(a) What is the cost to remove 50% of the pullutant.
replace x with 0.5 in the formula and solve for C
C = 5000/(200-2(.5))
take over ....
(something fishy here, the cost increased from 25 Million for doing nothing at all, to only 25.13 Million to remove 50%)
To find the cost to remove 50% of the pollutant, we need to substitute x=50 into the given equation: C=5,000 / (200-2x).
So, we have C=5,000 / (200-2(50)).
First, we simplify the equation inside the parentheses: 200-2(50) = 200-100 = 100.
Now, we can substitute this value into the equation: C=5,000 / 100.
To evaluate this expression, we divide 5,000 by 100, which gives us C=50.
Therefore, the cost to remove 50% of the pollutant is $50 million.