document.write( "Question 122545: I have two questions that have to do with the same model. 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.
\n" ); document.write( "C(x)= 1.5x/100-x
\n" ); document.write( "Using this model, approximately what is the cost if 60% of the citizens participate?
\n" ); document.write( "Using this model, estimate the percentage of participation that can be excepted if $5 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.
\n" ); document.write( "I don't understand how to do this so any suggestions will be very helpful. Thank you \n" ); document.write( "
Algebra.Com's Answer #90115 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
For the following function, C computes the cost in millions of dollars of implementing a city recycling project when x percent of the citizens participate.
\n" ); document.write( ":
\n" ); document.write( "Assuming you mean:
\n" ); document.write( "C(x)= \"1.5x%2F%28%28100-x%29%29\"
\n" ); document.write( ":
\n" ); document.write( "Using this model, approximately what is the cost if 60% of the citizens participate?
\n" ); document.write( ":
\n" ); document.write( "Just substitute 60 for x in the given equation
\n" ); document.write( "C(x)= \"1.5%2860%29%2F%28%28100-60%29%29\"
\n" ); document.write( "C(x)= \"90%2F40\"
\n" ); document.write( "C(x) = 2.25 million$
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "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.
\n" ); document.write( ":
\n" ); document.write( "Replace C(x) with 5, and solve for x:
\n" ); document.write( "5 = \"1.5x%2F%28%28100-x%29%29\"
\n" ); document.write( ":
\n" ); document.write( "Multiply both sides by (100-x) and you have:
\n" ); document.write( "5(100-x) = 1.5x
\n" ); document.write( "500 - 5x = 1.5x
\n" ); document.write( "500 = 1.5x + 5x; added 5x to both sides:
\n" ); document.write( "500 = 6.5x
\n" ); document.write( "x = 500/6.5
\n" ); document.write( "x = 77% participate when $5 million is spent
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution find C(x) when x = 77%
\n" ); document.write( "C(x)= \"1.5%2877%29%2F%28%28100-77%29%29\"
\n" ); document.write( "C(x)= \"115.5%2F23\"
\n" ); document.write( "C(x)= 5.02 ~ 5; confirms our solution
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Did this help you understand this? Any questions? \n" ); document.write( "
\n" );