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 is equal to 15 x minus 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

Answer 1

To find the linear equation that represents the total amount of money Maria makes from selling x batches of cookies, we need to consider her revenue and the initial cost she incurred.

1. Maria makes $15 for each batch of cookies sold, so the revenue from selling x batches of cookies is \(15x\).
2. However, she has already spent $20 on baking supplies, which is a cost that reduces her total earnings.

The relationship between the total money made (y) and the number of batches sold (x) can be represented by the equation:

\[ y = 15x - 20 \]

Thus, the correct response is:

y = 15x - 20 (y is equal to 15 x minus 20)