document.write( "Question 321698: . Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 60 cups. But when you raise your price to $1.50 you only sell 30 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote \"C\" for number of cups, and \"P\" for the price you charge. Assume the function is linear. \n" ); document.write( "
Algebra.Com's Answer #230400 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! you charge $1 per cup of lemonade you sell 60 cups. \n" ); document.write( " But when you raise your price to $1.50 you only sell 30 cups \n" ); document.write( " Write an equation for the number of cups you sell as a function of the price you charge. \n" ); document.write( " Denote \"C\" for number of cups, and \"P\" for the price you charge \n" ); document.write( ": \n" ); document.write( "the slope of the equation: m = \n" ); document.write( "Assign the given values as follows: \n" ); document.write( "x1=1.00, y1=60 \n" ); document.write( "x2=1.50, y2=30 \n" ); document.write( "Find the slope \n" ); document.write( "m = \n" ); document.write( ": \n" ); document.write( "Use the point/slope formula: y - y1 - m(x - x1) \n" ); document.write( "y - 60 = -60(x - 1) \n" ); document.write( "y - 60 = -60x + 60 \n" ); document.write( "y = -60x + 60 + 60 \n" ); document.write( "y = -60x + 120 \n" ); document.write( ": \n" ); document.write( "c = -60p + 120, is the equation \n" ); document.write( " |