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

- Helps students grasp how phenomena like population growth, radioactive decay, and interest rates work in real life.
- Enhances the ability to evaluate and understand exponential changes.
- Strengthens their hold close of exponential features and the way they practice extraordinary situations.
- Teaches college students to develop strategies for tackling complicated problems related to exponential growth and decay.
- Shows how exponential boom and rot are important in numerous subjects, linking science and math collectively.
- Improves abilities in studying and deciphering facts trends, that's critical for studies and facts technology.

**How to Determine Exponential Growth and Decay?**

- Determine if the problem describes exponential growth (increase) or decay (decrease) over time.
- Note the starting quantity \( a \) given in the problem.
- Identify the growth rate \( r \) for growth or the decay rate \( r \) for decay, usually given as a percentage or decimal.
- Apply the exponential growth formula \( y = a \cdot (1 + r)^t \) or the decay formula \( y = a \cdot (1 - r)^t \) to solve for the quantity \( y \) after time \( t \).