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=20x−5
y is equal to 20 x minus 5

y=15x−20
y is equal to 15 x minus 20

x=15y−20
x is equal to 15 y minus 20

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

Answer 1

To find the appropriate linear equation for the total amount of money Maria makes from selling \( x \) batches of cookies, we need to account for both her revenue from sales and her initial expenses.

1. The amount Maria makes from each batch of cookies is $15. Therefore, if she sells \( x \) batches, her total revenue from selling cookies is \( 15x \).
2. Maria has already spent $20 on baking supplies, which means this amount needs to be subtracted from her total revenue to get her total earnings.

The equation representing the total amount of money she makes after selling \( x \) batches is:

\[
y = 15x - 20
\]

Thus, the correct response is:

**y = 15x - 20**
y is equal to 15 x minus 20.