Question

You sell lemonade for 50 cents per glass. you invested $2.00 in the ingredients. write a formula that gives the profit in dollars p = p(n) as a function of the number n of glasses you sell.

Answer 1

Each glass you sell makes you gain 0.5 dollars. So, if you sell $n$ glasses, you will gain $0.5n$ dollars.

We also take into account that you spend 2 dollars at the beginning, which we must subtract from the future gains:

$p(n) = 0.5n - 2$

Since profit is gain minus expenses.

Answer 2

The required function P(n) = $0.50n - $2.00

Given that :

Selling Price of lemonade = 50 cent per glass = $0.50

Investment on ingredient = $2.00

n = number of glass sold

Recall :

Profit, = Revenue - Expenses

Revenue = selling price × number sold = $0.50 × n = $0.50n

Expenses = Investment = $2.00

P(n) = $0.50n - $2.00

The function P(n) = $0.50n - $2.00

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