1. **State the problem:** We have 250 plants growing at a rate of 40% per month. We want to find the number of plants after 3 months.
2. **Formula used:** The exponential growth formula is $$\text{Future Amount} = I(1 + r)^t$$ where:
- $I$ is the initial amount (250 plants),
- $r$ is the growth rate (as a decimal),
- $t$ is the time in months (3 months).
3. **Identify the growth rate:** 40% as a decimal is $0.40$. So, $r = 0.40$.
4. **Plug values into the formula:**
$$\text{Future Amount} = 250(1 + 0.40)^3$$
5. **Calculate inside the parentheses:**
$$1 + 0.40 = 1.40$$
6. **Raise to the power of 3:**
$$1.40^3 = 1.40 \times 1.40 \times 1.40 = 2.744$$
7. **Multiply by initial amount:**
$$250 \times 2.744 = 686$$
8. **Final answer:** After 3 months, there will be approximately **686 plants**.
**The number that belongs in the green box is $0.40$.**
Exponential Growth 7787E6
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