1. **State the problem:** We need to find the height of the plant after 20 months given the function $$H(x) = 8.00 + 0.08x$$ where $H(x)$ is the height in meters and $x$ is the number of months. 2. **Formula used:** The height function is linear, meaning the plant grows by a fixed amount each month. The formula is $$H(x) = 8.00 + 0.08x$$ where 8.00 is the initial height in meters and 0.08 is the growth per month in meters. 3. **Calculate the height after 20 months:** Substitute $x=20$ into the function: $$H(20) = 8.00 + 0.08 \times 20$$ 4. **Perform the multiplication:** $$0.08 \times 20 = 1.6$$ 5. **Add to the initial height:** $$H(20) = 8.00 + 1.6 = 9.6$$ 6. **Final answer:** The plant's height after 20 months is **9.6 meters**.