**How Will This Worksheet on "Exponential Growth and Decay Word Problems" Benefit Your Student's Learning?**

- Helps students recognize such things as how populations grow, how radioactive materials decay, and how interest rates affect savings.
- Teaches students to predict future events based on current trends, essential for planning and decision-making.
- Makes it simpler for college kids to peer and apprehend how things trade in different conditions where things grow or shrink quickly.
- Helps college students apprehend how to use math to resolve actual troubles, like figuring out how a lot of money could be stored over time or how rapidly a populace will grow.
- Encourages college students to provide you with ways to remedy difficult problems in which things are developing or shrinking rapidly.

**How to Exponential Growth and Decay Word Problems?**

- Determine whether the problem describes exponential growth (increasing) or decay (decreasing) over time to choose the correct model.
- Note the initial amount (\(a\)) and the rate (\(r\)), which is often provided as a percentage or decimal.
- Use \( y = a \cdot (1 + r)^t \) for growth or \( y = a \cdot (1 - r)^t \) for decay, where \(t\) is the time period.
- Calculate the final amount (\(y\)) and interpret the result within the context of the problem, ensuring it makes logical sense.