SOLUTION: 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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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       Log On


   

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.
Answer by stanbon(75887) About Me  (Show Source):
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 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.
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c(p) = mp + b
You have two points (1,50) and (2,25).
m = (50-25)/(1-2) = -25
c=50 when p=1
50=-25*1+b
b= 75
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EQUATION:
c(p) = -25p +75
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Cheers,
Stan H.