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Chrissy spent $5.00 on supplies and lemonade powder for her lemonade stand. She charges $0.50 per glass. A.Write a function P(x) to represent her profit per glass sold. B.Find the inverse function,P^-1(x) C.What do x and P^-1(x) represent in the context of the inverse function? D. How many glasses must Chrissy sell in order to make a $3 profit?

Respuesta :

fentyslaps777

Answer:    

P(x) = 0.50x - 5

Step-by-step explanation:

x = number of glasses sold

She charges $0.50 per glass, so her revenue is

R(x) = 0.50x

which is the amount of money she brings in

Her cost function is

C(x) = 5

assuming she only spends that $5.00 on the supplies mentioned.

The profit P(x) is the difference of revenue and cost

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = 0.50x - 5