SOLUTION: Suppose you have a lemonade stand, and when you charge 2 dollars per cup of lemonade you sell 120 cups. But when you raise your price to 3 dollars you only sell 60 cups. Write an

Question 68852: Suppose you have a lemonade stand, and when you charge 2 dollars per cup of lemonade you sell 120 cups. But when you raise your price to 3 dollars 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 the number of cups, and "P" for the price you charge. Assume the function is linear.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The key to this one is that it is linear. You can then use a
formula for the slope of a straight line
As the price goes up, you sell less cups
$2/cup --- 120 cups
$3/cup --- 60 cups
Let c = number of cups sold
Let p = price per cup
c will take the place of y
and p will take the place of x in the formula

answer
check it
p = 3

OK
p = 2

Note that if you sell for $4/cup, you won't sell any cups
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