SOLUTION: Hello!! Can someone try and solve this one, I not understanding this. Thank You so much!! --For the following function, C computes the cost in millions of dollars of implementing

Algebra ->  Radicals -> SOLUTION: Hello!! Can someone try and solve this one, I not understanding this. Thank You so much!! --For the following function, C computes the cost in millions of dollars of implementing       Log On


   

Question 125179: Hello!! Can someone try and solve this one, I not understanding this. Thank You so much!! --For the following function, C computes the cost in millions of dollars of implementing a city recycling project when x percent of the citizens participate. C%28x%29=1.5x%2F100-x it is supossed to be shown like: "C(x)=1.5x over 100-x" (1.5x/100-x)
a) Using this model, approximately what is the cost if 60% of the citizens participate?
b) Using this model, estimate the percentage of participation that can be excepted if $5 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
C%28x%29=1.5x%2F%28100-x%29
C%2860%29+=+1.5%2A60+%2F+%28100-60%29
C%2860%29+=+90+%2F+40
C%2860%29+=+2.25 million
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C%28x%29=1.5x%2F%28100-x%29
5+=+1.5x+%2F+%28100+-+x%29
500+-+5x+=+1.5x
6.5x+=+500
x+=+77%

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
C(x)=(1.5x/100-x)
a) Using this model, approximately what is the cost if 60% of the citizens participate?
C(60) = (1.5*60/(100-60)) = 90/40 = 9/4 = 2.25 million dollars
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b) Using this model, estimate the percentage of participation that can be excepted if $5 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.
5 = (1.5x/(100-5)
5 = (1.5x/(95-x))
475-5x = 1.5x
475 = 6.5x
x = 73.08%
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Cheers,
Stan H.