Question

question 16 of 38
a student is selling homemade lemonade. to make the lemonade, she must buy lemons for $0.75 each. she sells each cup of lemonade for $0.50.
which of the following equations describes the overall profit, p, that the student would make by selling lemonade if x represents the number of lemons she buys and y represents the number of cups she sells?

• ( p = 0.75x - 0.50y )
• ( p = 0.50y - 0.75x )
• ( p = 0.75y - 0.50x )
• ( p = 0.50x - 0.75y )

Explanation:

Step1: Define Revenue and Cost

Revenue is from selling lemonade: each cup is $0.50, and y cups are sold, so revenue $R = 0.50y$.
Cost is from buying lemons: each lemon is $0.75, and x lemons are bought, so cost $C = 0.75x$.

Step2: Calculate Profit

Profit $P$ is revenue minus cost, so $P = R - C = 0.50y - 0.75x$.

Answer:

B. $P = 0.50y - 0.75x$