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.


what linear equation represents the total amount of money Maria makes

Answer 1

To determine the linear equation that represents the total amount of money Maria makes, we need to consider both her costs and her revenue from selling the cookies.

Given:
- The cost spent on baking supplies is $20, which is a fixed cost.
- Maria sells each batch of cookies for $15, and if she sells \( x \) batches, the revenue from selling those batches is \( 15x \).

To find the total amount of money \( y \) she makes after accounting for her expenses, we can express it as:

\[
y = 15x - 20
\]

Here, \( y \) is the total amount of money Maria makes, \( 15x \) is the revenue from selling \( x \) batches of cookies, and \( -20 \) represents her initial expenses.

So the linear equation that represents the total amount of money Maria makes is:

\[
y = 15x - 20
\]