https://file.aiquickdraw.com/mathbot/file/1729611402166o55l8mkp.jpg

Let's go through the questions in the image:

### Question 6:
Mo says that he is 24 years old and you are asked to write down the error interval of his age due to truncating. 

- **Given solution**: \( \text{LB} = 24, \ \text{UB} = 25 \)
- **Answer**: \( 24 \leq a < 25 \)

This is correct, as when you truncate 24.99 to the nearest integer, it becomes 24, and the possible range of his actual age lies between 24 and just under 25.

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### Question 7:
A carton of cream contains 150 ml, rounded to the nearest ml. The question asks to find the maximum possible percentage error due to the assumption that the measurement is exact.

1. **Step 1**: The actual volume could range from 149.5 ml to 150.5 ml.
2. **Step 2**: The maximum error is 0.5 ml (because the carton could be off by 0.5 ml from the given 150 ml).
3. **Step 3**: The percentage error is calculated as:

\[
\text{Percentage error} = \left( \frac{\text{Maximum error}}{\text{Given value}} \right) \times 100 = \left( \frac{0.5}{150} \right) \times 100 = 0.333\%
\]

### Answer:
The maximum possible percentage error is **0.33%**.

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Would you like more details or have any questions? 

Here are 5 related questions that expand on these topics:

1. How do you calculate percentage error for other values?
2. What is the difference between truncating and rounding numbers?
3. How does the concept of bounds work in other contexts like measurement?
4. Why is the error interval written as \( 24 \leq a < 25 \) and not \( 24 \leq a \leq 25 \)?
5. What are other real-world examples where percentage error is critical?

**Tip**: When dealing with truncation or rounding, always check if the problem specifies whether it's to the nearest integer or nearest decimal to avoid calculation errors.

Mo says that he is 24 years old. Use inequalities to write down the error interval of his age due to truncating. A carton of cream contains 150 ml, to the nearest ml. Emma assumes the measurement is exact. She needs 150 ml of cream. Work out the maximum possible percentage error due to her assumption.

Learn how to calculate the error interval for truncating an age to the nearest integer and how to work out the maximum possible percentage error in measurement assumptions with a step-by-step solution. This is suitable for students in Grades 7-9 and covers key mathematical concepts like inequalities and percentage error calculations.

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