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To find the domain of the function \( A(t) \), let's analyze the given information:

1. **Initial Altitude**: The drone starts at 300 feet.
2. **Descent Rate**: The drone descends at a rate of 10 feet per second.
3. **Time to Land**: The descent takes 30 seconds, meaning that after 30 seconds, the altitude reaches 0 feet.

Since \( t \) represents time in seconds after Adriana begins bringing the drone down, the function \( A(t) \) is only defined from \( t = 0 \) (when she starts the descent) to \( t = 30 \) (when it lands at ground level). Therefore, the **domain of \( A(t) \)** is the interval from 0 to 30 seconds.

The correct answer is:
- **"All real numbers from 0 to 30"**

Would you like more details on this or have any questions?

Here are 5 related questions to expand on this concept:

1. How would the function \( A(t) \) be affected if the drone descended at a faster rate?
2. What would the range of \( A(t) \) be in this scenario?
3. How would the domain change if Adriana started with the drone at 500 feet?
4. Can we model the altitude change as a linear function? Why or why not?
5. What would the domain be if the descent rate was variable rather than constant?

**Tip:** Remember that the domain of a function represents all possible input values that make sense for the given context or problem.

Adriana is flying her drone at an altitude of 300 feet when she decides it's time to bring it down. The drone descends at a rate of 10 feet per second and takes 30 seconds to land. The function A(t) represents the altitude, in feet, of Adriana's drone t seconds after she begins to bring it down. What is the domain of A(t)?

Learn how to determine the domain of a function representing a drone's altitude as it descends. This problem involves concepts of functions, linear relationships, and the domain in real-life contexts. Suitable for students in Grades 8-10.

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