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Question 91049: It seems easy to answer but just want to know if my answer I did was right.
Question: Suppose you have a lemonade stand, and when you charge $2 per cup of lemonade you sell 120 cups. But when you raise your price to $3 you only sell 60 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.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose you have a lemonade stand, and when you charge $2 per cup of lemonade you sell 120 cups. But when you raise your price to $3 you only sell 60 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.
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You have two points: (2,120), (3,60)
Find the slope = [120-60]/[2-3] = -60
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Find the intercept using c=60 when p=3 and m=-60:
60 = -60*3+b
60 = -180 + b
b = 240
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EQUATION:
C = -60p + 240
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Cheers,
Stan H.
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