document.write( "Question 92106: 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 tp $2 you only sell 25 cups. Write an equation number of cups you sell as a function of the priceyou charge. Denote \"C\" for number of cups, an \"P\" for the priceyou charge. Assume the function is linear. \n" ); document.write( "

Algebra.Com's Answer #66971 by stanbon(75887) $\"\"$ $\"About$

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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 tp $2 you only sell 25 cups. Write an equation number of cups you sell as a function of the priceyou charge. Denote \"C\" for number of cups, an \"P\" for the priceyou charge. Assume the function is linear.
\n" ); document.write( "----------------------
\n" ); document.write( "c(p) = mp + b
\n" ); document.write( "You have two points (1,50) and (2,25).
\n" ); document.write( "m = (50-25)/(1-2) = -25
\n" ); document.write( "c=50 when p=1
\n" ); document.write( "50=-25*1+b
\n" ); document.write( "b= 75
\n" ); document.write( "--------------
\n" ); document.write( "EQUATION:
\n" ); document.write( "c(p) = -25p +75
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "

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