document.write( "Question 173563: Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 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.\r
\n" ); document.write( "\n" ); document.write( "My try at it:
\n" ); document.write( "1P = C50
\n" ); document.write( "2P = C25 \n" ); document.write( "

Algebra.Com's Answer #128430 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 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( "---------
\n" ); document.write( "You have two points: (1,50) and (2,25)
\n" ); document.write( "slope = (25-50)/(2-1) = -25
\n" ); document.write( "-----------
\n" ); document.write( "Form: y = mx+b
\n" ); document.write( "intercept: 50 = -25*1 + b
\n" ); document.write( "b = 75
\n" ); document.write( "Equation:
\n" ); document.write( "C = -25p + 75
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );