document.write( "Question 186702: I am confused as to how an quadratic equation can be used in our every day lives? I need an example such as when cooking. \n" ); document.write( "
Algebra.Com's Answer #140039 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Here is one involving food that came up some time ago. Perhaps this will help \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( "A restaurant sells about 330 sandwiches each day at a price of $6 each. \n" ); document.write( " For each $.25 decrease in price, 15 more sandwiches are sold per day. \n" ); document.write( " How much should the restaurant charge to maximize daily revenue? \n" ); document.write( "What is the maximum daily revenue? \n" ); document.write( ": \n" ); document.write( "Let x = amt ($) decrease in price \n" ); document.write( ": \n" ); document.write( "Since there is an increase of 15 for each $.25 decrease, $1 decrease: 4*15 = 60 \n" ); document.write( "Let 60x = increase in sandwiches sold \n" ); document.write( ": \n" ); document.write( "Price = (6 - x) \n" ); document.write( "Number sold = (330 + 60x) \n" ); document.write( ": \n" ); document.write( "Revenue = price * number sold: Let y = Revenue: \n" ); document.write( ": \n" ); document.write( "y = (6-x)(330+60x) \n" ); document.write( "FOIL \n" ); document.write( "y = 1980 + 360x -330x - 60x^2 \n" ); document.write( ": \n" ); document.write( "A quadratic equation: \n" ); document.write( "y = -60x^2 + 30x + 1980 \n" ); document.write( ": \n" ); document.write( "Find the axis of symmetry: x = -b/(2a); a=-60; b=+30 \n" ); document.write( "x = -30/(2*-60) \n" ); document.write( "x = -30/-120 \n" ); document.write( "x = +.25 \n" ); document.write( ": \n" ); document.write( "Max revenue occurs at 6 - .25 = $5.75 for the sandwich \n" ); document.write( ": \n" ); document.write( "Find Max revenue: The problem states that for every $.25, they sell 15 more: \n" ); document.write( "(330+15) * 5.75 = $1983.75 is the max revenue. \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |