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Here are the answers based on the provided decay function \( y = 100 \cdot 0.7^x \):

### Table of Values (Rounded to Two Decimal Places):
| Time Period (x) | Amount (y in grams) |
|-----------------|---------------------|
| 0               | 100.00              |
| 1               | 70.00               |
| 2               | 49.00               |
| 3               | 34.30               |
| 4               | 24.01               |
| 5               | 16.81               |
| 6               | 11.77               |
| 7               | 8.24                |
| 8               | 5.76                |
| 9               | 4.03                |
| 10              | 2.82                |

### Additional Answers:
- **The half-life is a little less than:** 18 hours.
- **It takes a little more than:** 60 hours for the substance to weigh less than 4 grams.

Would you like more details on any part of this? 

Here are some additional questions that could deepen your understanding:

1. How do you calculate the half-life using the decay formula?
2. What happens to the value of \( y \) as \( x \) increases indefinitely?
3. How does changing the decay factor (0.7) affect the half-life of the substance?
4. How is the decay formula related to exponential functions?
5. Why is it necessary to round the values in a scientific context?

**Tip:** For exponential decay problems, remember that the half-life represents the time it takes for a substance to reduce to half its initial amount.

Generate a table of values to estimate the half-life of a substance that decays according to the function y = 100 * 0.7^x, where x is the number of time periods, each time period is 12 hours, and y is in grams.

Learn how to estimate the half-life of a substance using the exponential decay function y = 100 * 0.7^x. This guide provides a table of values for each time period and answers related to the decay time. Suitable for high school students in Grades 9-11.

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