document.write( "Question 211589This question is from textbook
\n" ); document.write( ": Can someone please help me with this \"setting fares\" word problem?
\n" ); document.write( "a bus company has 3,000 passengers daily, paying a 25 cent fare. For each nickel increase in fare, the company projects that it will lose 80 passengers. What fare increase will produce $994 in daily revenue? Please show me all the steps and get back to me before Tues 10am.
\n" ); document.write( "Thanks so much
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #159918 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
a bus company has 3,000 passengers daily, paying a 25 cent fare.
\n" ); document.write( " For each nickel increase in fare, the company projects that it will lose 80 passengers.
\n" ); document.write( "What fare increase will produce $994 in daily revenue?
\n" ); document.write( ":
\n" ); document.write( "Use the given information to make two sets of coordinates
\n" ); document.write( "Let x = no. of .05 increases above the .25 fare,
\n" ); document.write( "and x = no. of 80 passenger decrease from 3000
\n" ); document.write( "let y = daily revenue
\n" ); document.write( ":
\n" ); document.write( "The equation:
\n" ); document.write( "Revenue = fare * no. of passengers
\n" ); document.write( "y = (.25 + .05x) * (3000 - 80x)
\n" ); document.write( "FOIL
\n" ); document.write( "750 - 20x + 150x - 4x^2 = y
\n" ); document.write( ":
\n" ); document.write( "-4x^2 + 130x + 750 = y
\n" ); document.write( ":
\n" ); document.write( "\"What fare increase will produce $994 in daily revenue?+
\n" ); document.write( "y = 994, find x
\n" ); document.write( "-4x^2 + 130x + 750 = 994
\n" ); document.write( ":
\n" ); document.write( "-4x^2 + 130x + 750 - 994 = 0
\n" ); document.write( ":
\n" ); document.write( "-4x^2 + 130x - 244 = 0
\n" ); document.write( "Simplify, divide by -2
\n" ); document.write( "2x^2 - 65x + 122 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(2x - 61) (x - 2) = 0
\n" ); document.write( "The reasonable solution
\n" ); document.write( "x = 2 ea .05 increases (10 cents) in fare will produce $994 revenue
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the original equation
\n" ); document.write( "y = (.25 + .05(2)) * (3000 - 80(2))
\n" ); document.write( "y = (.25 + .10) * (3000 - 160)
\n" ); document.write( "y = .35 * 2840
\n" ); document.write( "y = $994 \n" ); document.write( "
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