SOLUTION: 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 (x) = 1.5x/100-x a

Algebra ->  Conversion and Units of Measurement -> SOLUTION: 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 (x) = 1.5x/100-x a      Log On


   

Question 121985: 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 (x) = 1.5x/100-x
a) Using this model, approximately what is the cost if 60% of the citizens participate?
Answer:

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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.

Answer:

Show your work here:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a.) C%28x%29=1.5x%2F%28100-x%29
C%2860%29=1.5%2860%29%2F%28100-60%29
C%2860%29=1.5%2860%29%2F%2840%29
C%2860%29=2.25
The cost would be $2.25 million.
b.) C%28x%29=1.5x%2F%28100-x%29=5
1.5x%2F%28100-x%29=5
1.5x=5%28100-x%29
1.5x=500-5x%29
6.5x=500%29
x=500%2F6.5%29
x=76.9%29
Rounding to the nearest whole percent, 77% participation would cost $5 million.