SOLUTION: C computes the cost inmillions of dollars of implementing a city recycling project when x percent of the citizens participate. C(x)=1.4x/(100-x) Using this model, approx what is

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Question 113785This question is from textbook Blitzer
: C computes the cost inmillions of dollars of implementing a city recycling project when x percent of the citizens participate. C(x)=1.4x/(100-x)
Using this model, approx what is the cost if 60% of the citiznes participate?
this is what I have - is this correct? C=1.4 times 60 over 100-60, which would be 2.1 million.
I do not know how to write the formula for part b, which is to estimate the percentage of participation that can be expected if 4 million is spent on the project. Set up an equation and solve algebraically, rounding to the nearest whoel percent.
This question is from textbook Blitzer

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
C(x)=1.4x/100-x
Using this model, approx what is the cost if 60% of the citiznes participate?
this is what I have - is this correct? C=1.4 times 60 over 100-60, which would be 2.1 million.
That looks good.
-------------------------
I do not know how to write the formula for part b, which is to estimate the percentage of participation that can be expected if 4 million is spent on the project. Set up an equation and solve algebraically, rounding to the nearest whole percent.
4 = 1.4x/(100-x)
Cross-multiply to get:
400-4x = 1.4x
5.4x = 400
x = 74%
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Cheers,
Stan H.