SOLUTION: Hello and thank you for your help. Could you please help me with this: given the function C(x)=1.4x/100-x C=cost in millions of dollars and x percent of the citizen participating.

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Hello and thank you for your help. Could you please help me with this: given the function C(x)=1.4x/100-x C=cost in millions of dollars and x percent of the citizen participating.       Log On

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Question 466696: Hello and thank you for your help. Could you please help me with this: given the function C(x)=1.4x/100-x C=cost in millions of dollars and x percent of the citizen participating.
a). Find the cost if 60% of citizens participate.
b). Determine the percentage of participation expected if $4 million is spent. Set up an equation and solve algebraically. Round to the nearest whole percent.
Thank you so much and HAPPY 4 OF JULY.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a.) C%2860%29+=+%28%281.4%29%2860%29%29%2F%28100+-+60%29+=+2.1 million $.
b.) 4+=+%281.4x%29%2F%28100+-+x%29 ==> 400 - 4x = 1.4x ==> 400 = 5.4x ==> x = 74.07 %