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The problem states that Sarah's investment grew by 25% to reach $441. To determine the amount she initially invested, we can use the formula for growth with percentages:

\[
\text{Final Amount} = \text{Initial Investment} \times (1 + \text{Percentage Increase})
\]

Here:
- The **final amount** is $441.
- The **percentage increase** is 25%, or 0.25.

Let $ x $ represent the initial investment. The equation becomes:

\[
441 = x \times (1 + 0.25)
\]
\[
441 = x \times 1.25
\]

To solve for $ x $:

\[
x = \frac{441}{1.25}
\]

Let me calculate that for you.Sarah initially invested **$352.80**.

Would you like any additional details or clarifications? Here are 5 related questions to explore:

1. How would the investment change if the percentage growth were different?
2. What would the final amount be if Sarah invested more initially?
3. How long did it take for the investment to grow by 25%?
4. How can you calculate the percentage growth if only the initial and final amounts are known?
5. What if there were multiple periods of growth at different rates?

**Tip:** When solving percentage problems, always convert the percentage to a decimal by dividing by 100.

Sarah's investment in stock grew 25% to $441. How much did she invest?

Learn how to calculate the initial investment amount based on a 25% growth to a final amount of $441. Understand the key algebraic concepts and formulas involved in percentage increase. Suitable for students in Grades 6-8.

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