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) =

Respuesta :

p=1g-50


This is because p represents profit, 50 represents the initial 50 dollar set up her stand, and 1g represents the rate of increase through each glass she sells. 

If the cost of installing the lemonade stand is $ 50, Betty must raise a minimum of $ 51 to make a profit. When selling the glasses of lemonade to $ 1, Betty must sell 51 glasses to surpass the $ 50 of cost, and begin to obtain a surplus that forms a profit.

If she only sold 50, she would recover the initial investment but she would not have earnings.

If she sold less than 50, her business would show a negative balance.