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The problem asks to write an equation that shows how Molly and her sister's total earnings depend on the number of lemonade cups sold.

Each cup earns them $2, and the number of cups sold is represented by $ x $. The total earnings, represented by $ y $, will be equal to 2 times the number of cups sold.

Thus, the equation is:

\[
y = 2x
\]

This means their total earnings $ y $ are directly proportional to the number of cups sold $ x $, with each cup contributing $2 to the total.

Would you like further details on how this equation was derived, or any additional questions?

### 5 Related Questions:
1. What would be the total earnings if they sold 10 cups?
2. How would the equation change if each cup sold for $3 instead of $2?
3. How can you graph the equation $ y = 2x $?
4. If they made $20, how many cups did they sell?
5. How would the equation change if they had to spend $5 on materials before selling any cups?

### Tip:
Always make sure to identify the variable that represents the unknown quantity (like $ x $ in this case) before forming an equation.

Molly is helping her younger sister run a lemonade stand. They earn $2 for each cup of lemonade they sell. Write an equation that shows how their total earnings, y, depend on the number of cups sold, x. Do not include dollar signs in the equation.

Learn how to write a linear equation for total earnings from a lemonade stand. Each cup of lemonade earns $2, and the equation y = 2x shows how total earnings depend on the number of cups sold. Suitable for students in Grades 6-8.

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