Problem 4 A lemonade vendor can sell 200 cups of lemonade per day when the price per cup is $2. Having done a study, the vendor knows that each 10-cent price decrease, increases the number of sales by 25 cups per day. Part a) Write an equation that represents the revenue as a function of the price per cup. (Make sure to define your variables and show your work.) Part b) What is the maximum revenue? How much should the vendor sell the lemonade for to reach the maximum revenue? (Make sure to show all work)

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.