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=20x−5
y is equal to 20 x minus 5

x=15y−20
x is equal to 15 y minus 20

y=15x+20
y is equal to 15 x plus 20

y=15x−20

Answer 1

To find the correct equation that represents the total amount of money Maria makes from selling x batches of cookies, we need to consider both her expenses and her income from selling the cookies.

Maria sells each batch of cookies for $15, so if she sells x batches, her income from selling cookies is:

\[ \text{Income} = 15x \]

However, Maria also has a fixed cost of $20 for baking supplies. Thus, the total money she makes (revenue) can be represented as her income minus her expenses:

\[ y = \text{Income} - \text{Expenses} \] \[ y = 15x - 20 \]

Therefore, the correct linear equation that represents the total amount of money Maria makes from selling x batches of cookies is:

y = 15x - 20

So the correct response is:

y = 15x − 20.