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The problem states:

"On average, a bamboo plant grows 35 inches per day. If a bamboo plant measures 52 inches at \( t = 0 \), predict the height of the bamboo plant at \( t = 25 \)?"

This is a linear growth problem, where the initial height \( H(0) = 52 \) inches and the growth rate is 35 inches per day.

We can express the height of the bamboo plant as a function of time \( t \):

\[
H(t) = 52 + 35t
\]

Now, substituting \( t = 25 \):

\[
H(25) = 52 + 35 \times 25 = 52 + 875 = 927 \text{ inches}
\]

So, the predicted height of the bamboo plant after 25 days is **927 inches**.

Would you like a detailed explanation of how I arrived at this answer, or any clarifications?

### Related Questions:
1. How would the answer change if the growth rate were 40 inches per day?
2. What would the bamboo's height be at \( t = 50 \) days?
3. If the initial height was 100 inches instead of 52 inches, what would the height be after 25 days?
4. How long would it take for the bamboo to reach a height of 1,000 inches?
5. What equation models this problem as a function of growth over time?

**Tip:** In problems involving constant growth rates, you can use linear equations to model the relationship between time and the quantity of interest (like height in this case).

On average, a bamboo plant grows 35 inches per day. If a bamboo plant measures 52 inches at t = 0, predict the height of the bamboo plant at t = 25?

Learn how to predict the height of a bamboo plant after 25 days using a simple linear growth model. This problem involves algebraic concepts and is suitable for students in Grades 6-8. The bamboo grows at 35 inches per day, starting at 52 inches.

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