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.

Question

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=15x+20

x=15y−20

y=20x−5

Answer 1

The correct linear equation that represents the total amount of money Maria makes from selling \( x \) batches of cookies is:

\[ y = 15x - 20 \]

Here's the reasoning:

1. Each batch of cookies is sold for $15, so if Maria sells \( x \) batches, she makes \( 15x \) dollars from the sales.
2. However, she has already spent $20 on baking supplies. To reflect this cost in her total earnings, we subtract $20 from her sales, which gives us the equation \( y = 15x - 20 \).

So the correct choice is:

y = 15x - 20