Poppy sells photos of athletes to baseball, basketball, and hockey fans after the games. Her regular price is $10 per photograph, and she usually sells about 30 photographs. Poppy finds that, for each reduction in price of $0.50, she can sell two additional photographs. a) Write an equation to model Poppy’s total sales revenue. b) What number of price increases or decreases will result in a revenue of $0? c) How many ticket price increases or deceases will she need to make to maximize her revenue? d) At what price will her maximum revenue occur?
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.
Poppy sells photos of athletes to baseball, basketball, and hockey fans after the games. Her regular price is $10 per photograph, and she usually sells about 30 photographs. Poppy finds that, for each reduction in price of $0.50, she can sell two additional photographs.
a) Write an equation to model Poppy’s total sales revenue.
b) What number of price increases or decreases will result in a revenue of $0?
c) How many ticket price increases or deceases will she need to make to maximize her revenue?
d) At what price will her maximum revenue occur?
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