SOLUTION: Hello. Referred to me by Minka. The function f(x) = 180x/100-x models the cost, f(x), in millions of dollars, to remove x% of a river's pollutants. If the government commits $60

Algebra ->  Human-and-algebraic-language -> SOLUTION: Hello. Referred to me by Minka. The function f(x) = 180x/100-x models the cost, f(x), in millions of dollars, to remove x% of a river's pollutants. If the government commits $60      Log On


   

Question 460033: Hello. Referred to me by Minka.
The function f(x) = 180x/100-x models the cost, f(x), in millions of dollars, to remove x% of a river's pollutants. If the government commits $60 million for this project, what percentage of the pollutants can be removed?
___% of the pollutants can be removed.
Truly greatful to whom replies.
Samantha
Found 2 solutions by oberobic, MathLover1:
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
f%28x%29+=+180x%2F100
f%28x%29+=+60
.
Substitute what you are given.
60+=+180x%2F100
Multiply both sides by 100.
6000+=+180x
Equals are equal, so you can swap sides.
180x+=+6000
Divide both sides by 180.
x+=+6000%2F180
x+=+33.333333
.
So, the $60 million would result in the removal of 33.33333% of the pollutants.
.
Done.

.

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

The function+f%28x%29+=+180x%2F100-x
f%28x%29, in millions of dollars, to remove+x% of a river's pollutants
the government commits $60 ...->...f%28x%29=60
+60=+180x%2F100-x ....both sides multiply by 100
+60%2A100=+180%2A100x%2F100-100x
+6000=+180x-100x .......solve for x

+6000=+80x
+600cross%280%29=+8cross%280%29x
+600=+8x
+600%2F8=+x
+75=+x
so, 75 % of the pollutants can be removed