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+15
y is equal to 20 x plus 15

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

y=15x−20
y is equal to 15 x minus 20

y=15x+20

Answer 1

To find the total amount of money Maria makes from selling batches of cookies, we first need to consider the costs and the revenue generated from selling the cookies.

1. Cost: Maria has already spent $20 on baking supplies. This is a fixed cost.

2. Revenue: She plans to sell each batch of cookies for $15. If she sells \( x \) batches, her total revenue from selling the cookies would be \( 15x \).

The total amount of money she makes from selling the cookies (which is revenue) is given by the revenue from the batches sold minus the initial cost of supplies:

\[ y = 15x - 20 \]

Thus, this equation accounts for the money made from selling \( x \) batches, while subtracting the initial $20 spent.

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 (y is equal to 15 x minus 20)