Questions on Algebra: Unit Conversion answered by real tutors!

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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:

Show your work here:

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:
: 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:

Show your work here:

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(1755) About Me  (Show Source):
You can put this solution on YOUR website!
a.) C(x)=1.5x/(100-x)
C(60)=1.5(60)/(100-60)
C(60)=1.5(60)/(40)
C(60)=2.25
The cost would be $2.25 million.
b.) C(x)=1.5x/(100-x)=5
1.5x/(100-x)=5
1.5x=5(100-x)
1.5x=500-5x)
6.5x=500)
x=500/6.5)
x=76.9)
Rounding to the nearest whole percent, 77% participation would cost $5 million.