Question
Maria is organizing a charity bake sale. She has already spent $20 on baking supplies and plans to sell each batch of cookies for $15. Let x represent the number of batches of cookies Maria sells, and let y represent the total amount of money she makes from selling the cookies. Which of the following linear equations represents the total amount of money Maria makes from selling x batches of cookies? (3 points) Responses y=15x+20 y is equal to 15 x plus 20 x=15y−20 x is equal to 15 y minus 20 y=20x−5 y is equal to 20 x minus 5 y=15x−20
Answers
GPT-4o mini
To determine the correct equation that represents the total amount of money Maria makes from selling \( x \) batches of cookies, we need to consider both her costs and her income.
Maria spends $20 on baking supplies, which is a fixed cost. She then sells each batch of cookies for $15. Therefore, the total revenue she makes from selling \( x \) batches is given by the equation:
\[
y = 15x
\]
However, since she has an initial cost of $20, her total profit (or total amount of money made, considering her costs) will actually be:
\[
y = 15x - 20
\]
So the equation that represents the total amount of money Maria makes from selling \( x \) batches of cookies is:
\[
\boxed{y = 15x - 20}
\]
Maria spends $20 on baking supplies, which is a fixed cost. She then sells each batch of cookies for $15. Therefore, the total revenue she makes from selling \( x \) batches is given by the equation:
\[
y = 15x
\]
However, since she has an initial cost of $20, her total profit (or total amount of money made, considering her costs) will actually be:
\[
y = 15x - 20
\]
So the equation that represents the total amount of money Maria makes from selling \( x \) batches of cookies is:
\[
\boxed{y = 15x - 20}
\]