SOLUTION: For the following function, C computes a value, where if you add millions of dollars to the value, the result is the cost of implementing a city recycling project when x , as a per

Question 196618: For the following function, C computes a value, where if you add millions of dollars to the value, the result is the cost of implementing a city recycling project when x , as a percent (not its decimal equivalent), citizens participate.

C(x)=1.5x/100-x
a) Using this model, determine the cost if 60% of the citizens participate?
Answer:

Show your work here:

b) Using this model, find the percentage of participation that can be expected if $5 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For the following function, C computes a value, where if you add millions of dollars to the value, the result is the cost of implementing a city recycling project when x , as a percent (not its decimal equivalent), citizens participate.
C(x)=1.5x/100-x
a) Using this model, determine the cost if 60% of the citizens participate?
Answer:
C(60) = 1.5*60/(40) = $2.25 million dollars
------------------------------------------------------
Show your work here:
b) Using this model, find the percentage of participation that can be expected if $5 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.
C(x)=1.5x/100-x
5 = 1.5x/(100-x)
Cross-multiply to get:
500-5x = 1.5x
500 = 6.5x
x = 76.92 percent
======================
Cheers,
Stan H.
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