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The question asks which number type (Integers or Real numbers) is more appropriate for the domain of \( h(t) \), where \( h(t) \) represents the height of Pooja's plant in centimeters, and \( t \) represents the number of days after she bought it.

Since \( t \) represents time, and time can be measured in fractions of days (for instance, 2.5 days), the most appropriate number type for the domain of \( h(t) \) would be **real numbers**. This is because real numbers include both whole numbers and decimals, which allows for a continuous measure of time, rather than just whole day intervals (which would limit it to integers).

Thus, the correct answer is **B: Real numbers**.

Would you like further details or explanations?

Here are 5 follow-up questions:
1. How does the domain of a function relate to real-world measurements like time?
2. Why can't integers alone be used for the domain in this case?
3. How would the function \( h(t) \) behave if time could only be measured in whole numbers (integers)?
4. What other real-life examples can you think of where time is modeled by real numbers?
5. How would the graph of \( h(t) \) look for real numbers versus integers?

**Tip:** The domain of a function describes all the possible input values (in this case, time \( t \)) for which the function is defined.

Which number type is more appropriate for the domain of h(t), where h(t) represents the height of Pooja's plant (in centimeters) t days after she bought it?

Learn how to determine the appropriate domain for the function h(t), which models the height of a plant in centimeters over time in days. Explore why real numbers are the best fit for time-based measurements in this problem, ideal for Grades 6-8.

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