Posted by **Stephanie** on Monday, January 19, 2009 at 11:36am.

Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 50 cupes. But when you raise your price to $2 you only sell 25 cups. Write an equation for the nuber 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.

- Math -
**Damon**, Monday, January 19, 2009 at 12:43pm
c = m p + b

50 = m (1) + b

25 = m(2) + b

------------- subtract

25 = - m

m = -25 the slope

then

25 = -25 (2) + b

75 = b the intercept with cup axis

so

c = -25 p + 75

so if I charged nothing, I would give away 75 cups

and if I charged three, I would sell none :)

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