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The problem asks to determine the upper bound of \( q \), which is related to \( r \), \( s \), and \( t \) by the equation:

\[
q = \frac{r}{s + t}
\]

Where:
- \( r \) is 8.4 (rounded to 1 decimal place),
- \( s \) is 1.32 (rounded to 2 decimal places),
- \( t \) is 0.45 (rounded to 2 decimal places).

To find the **upper bound** of \( q \), we need to consider the **largest possible values** of \( r \), \( s \), and \( t \) within their rounding tolerances:
- \( r \) could be as large as 8.45 (since 8.4 rounds to this value).
- \( s \) could be as small as 1.315 (since 1.32 rounds to this value).
- \( t \) could be as small as 0.445 (since 0.45 rounds to this value).

Now we can calculate the upper bound of \( q \):

\[
q_{upper} = \frac{8.45}{1.315 + 0.445}
\]

Let me compute that for you.The upper bound of \( q \) is approximately \( 4.80 \) when rounded to two decimal places.

Would you like any further explanation or details? Here are some related questions you might find helpful:

1. What is the lower bound of \( q \)?
2. How do you determine bounds based on rounding?
3. What happens to \( q \) if \( r \), \( s \), or \( t \) changes slightly?
4. Why is it important to calculate upper and lower bounds in real-world scenarios?
5. How does rounding affect the precision of final results?

**Tip:** Always consider both upper and lower bounds when dealing with approximations to understand the full range of possible outcomes.

Determine the upper bound of q, rounding your answer to 2 decimal places, given r = 8.4 (rounded to 1 decimal place), s = 1.32 (rounded to 2 decimal places), and t = 0.45 (rounded to 2 decimal places), with the equation q = r / (s + t).

Learn how to determine the upper bound of q, using the equation q = r / (s + t), by applying rounding principles to r, s, and t. This problem illustrates key algebraic manipulation and rounding techniques, suitable for students in Grades 9-11.

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