Algebra

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.

C = -60P + 240

Take a look at the table below and write out an equation for f (x).

f (x) -2-2-6-10

f (x) = 4x +

Which of the following are functions? Explain your reasoning for a, b, and c. Keep the definition of a function strongly in mind as you do this problem, it is not nearly as difficult as it may look. Think about whether the relationship between f (x) and x is consistent with being a function or not and explain your reasoning. Problems b & c are multi-part relations so consider all parts when deteriming if they are funcitons.

a. f (x) = x +

Function: one f (x) value for each x value, all x values possible

b. f (x) = 3 if x>2 otherwise f (x) = -2 Function: every x value corresponds to only one f (x) value

c. f (x) = 7 if x>0 or f (x) = -7 if x