SOLUTION: The following function computes the cost, C (in millions of dollars), of implementing a city recycling project when x percent of the citizens participate. C(X)=1.4x/100-x a)Using

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: The following function computes the cost, C (in millions of dollars), of implementing a city recycling project when x percent of the citizens participate. C(X)=1.4x/100-x a)Using       Log On


   



Question 200924: The following function computes the cost, C (in millions of dollars), of implementing a city recycling project when x percent of the citizens participate. C(X)=1.4x/100-x
a)Using the model, find the cost if 60% of the citizens participate.
b)Using the model, determine the percentage of participation that can be expected if $4 million is spent on this recycling project. Set up an equation and solve algebraically. Round to the nearest whole percent.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(a)
C%28x%29+=+1.4x%2F%28100+-+x%29
C%2860%29+=+1.4%2A60+%2F+%28100+-+60%29
C%2860%29+=+84+%2F+40
C%2860%29+=+2.1 million
(b)
4+=+1.4x+%2F+%28100+-+x%29
4%2A%28100+-+x%29+=+1.4x
400+-+4x+=+1.4x
5.4x+=+400
x+=+74.074
About 74% participation is needed