Question

Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p, she makes by selling g glasses of lemonade? The number of glasses of lemonade, g, that Betty needs to sell to make a profit, p, if the setup cost her $50 is given by the function . f(g) = .

Answer 1

Answer with explanation:

Amount charged to Betty for Lemonade Stand = $ 50

Amount charged by Betty for a glass of Lemonade= $ 1

Variable , P is used to denote Profit.

Variable, g , is used to denote number of glasses of Lemonade Sold.

If Betty wants to make a profit, then

   → g (Number of glasses of lemonade Sold) > 50

 ⇒Profit (P)=[Number of glasses of Lemonade Sold (g)>50]×$ 1 -$50

→ P=g -50, where, g >50,that is a positive integer,greater than 50.

Set up Cost , of $ 50 is represented by the function , f(g).

So, the above function changes to

→ P = g - f(g)

Answer 2

If you would like to find the function that gives the profit Betty makes by selling a number of glasses of lemonade, you can find this using the following steps:

p ... profit
g ... glasses of lemonade

f(g) = p = g * $1 - $50

The correct result would be f(g) = g * $1 - $50.