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It looks like you're working on a question involving exponential equations and their corresponding rates of change, including growth and decay percentages. The task is to match each exponential equation to its percent rate of change.

### Let's break down the equations:

1. **80(1.8)^t = 20**  
   The base (1.8) is greater than 1, indicating growth. The growth factor is 1.8, which corresponds to an **80% growth** (since 1.8 = 1 + 0.8 or 80%).

2. **60(0.8)^t = 1.4**  
   The base (0.8) is less than 1, indicating decay. The decay factor is 0.8, which corresponds to **20% decay** (since 0.8 = 1 - 0.2 or 20%).

3. **40(0.6)^t = 1.6**  
   The base (0.6) is less than 1, indicating decay. The decay factor is 0.6, which corresponds to **40% decay** (since 0.6 = 1 - 0.4 or 40%).

4. **1.2(1.2)^t = 80**  
   The base (1.2) is greater than 1, indicating growth. The growth factor is 1.2, which corresponds to **20% growth** (since 1.2 = 1 + 0.2 or 20%).

5. **20(0.4)^t = 1.2**  
   The base (0.4) is less than 1, indicating decay. The decay factor is 0.4, which corresponds to **60% decay** (since 0.4 = 1 - 0.6 or 60%).

### Matching Summary:
- 80(1.8)^t = 20 → 80% growth
- 60(0.8)^t = 1.4 → 20% decay
- 40(0.6)^t = 1.6 → 40% decay
- 1.2(1.2)^t = 80 → 20% growth
- 20(0.4)^t = 1.2 → 60% decay

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Do you have any questions or need further details?

Here are five related questions to explore this topic further:
1. What is the general form of an exponential growth equation?
2. How do you calculate the percentage rate of decay from an exponential equation?
3. What happens to the equation when the growth or decay factor is exactly 1?
4. How does the initial value (coefficient) affect the exponential function?
5. Can an exponential decay equation ever result in a negative value?

**Tip:** To identify whether an equation represents growth or decay, always check the base of the exponential term (whether it is greater than or less than 1).

Match each exponential equation to its percent rate of change.

Learn how to match exponential equations with their respective percent rate of change, focusing on growth and decay. The problem involves identifying growth when the base is greater than 1 and decay when it is less than 1. Suitable for Grades 8-10.

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