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Answer :
Let's break down the problem to understand the change in weight over the first five weeks and interpret its meaning.
1. Initial Information:
- We have a list of weights recorded weekly.
- We need to examine the change in weight during the first five weeks.
2. Extract Relevant Data:
- Initial weight (Week 0): 150 pounds
- Weight after five weeks (Week 5): 137 pounds
3. Calculate Change in Weight:
- The change in weight over these five weeks is:
[tex]\[
\text{Change in Weight} = \text{Weight after five weeks} - \text{Initial weight} = 137 - 150 = -13 \text{ pounds}
\][/tex]
4. Calculate Change in Time:
- The change in time over the first five weeks is from week 0 to week 5:
[tex]\[
\text{Change in Time} = 5 - 0 = 5 \text{ weeks}
\][/tex]
5. Form the Ratio:
- We compare the change in weight to the change in time:
[tex]\[
\text{Ratio} = \frac{\text{Change in Weight}}{\text{Change in Time}} = \frac{-13}{5}
\][/tex]
6. Interpret the Ratio:
- This ratio, [tex]\(\frac{-13}{5}\)[/tex], means that a total of 13 pounds was lost over 5 weeks. Negative sign indicates weight loss.
The correct interpretation and ratio match option C:
- [tex]\(\frac{-13}{5}, 13\)[/tex] pounds was lost in 5 weeks.
1. Initial Information:
- We have a list of weights recorded weekly.
- We need to examine the change in weight during the first five weeks.
2. Extract Relevant Data:
- Initial weight (Week 0): 150 pounds
- Weight after five weeks (Week 5): 137 pounds
3. Calculate Change in Weight:
- The change in weight over these five weeks is:
[tex]\[
\text{Change in Weight} = \text{Weight after five weeks} - \text{Initial weight} = 137 - 150 = -13 \text{ pounds}
\][/tex]
4. Calculate Change in Time:
- The change in time over the first five weeks is from week 0 to week 5:
[tex]\[
\text{Change in Time} = 5 - 0 = 5 \text{ weeks}
\][/tex]
5. Form the Ratio:
- We compare the change in weight to the change in time:
[tex]\[
\text{Ratio} = \frac{\text{Change in Weight}}{\text{Change in Time}} = \frac{-13}{5}
\][/tex]
6. Interpret the Ratio:
- This ratio, [tex]\(\frac{-13}{5}\)[/tex], means that a total of 13 pounds was lost over 5 weeks. Negative sign indicates weight loss.
The correct interpretation and ratio match option C:
- [tex]\(\frac{-13}{5}, 13\)[/tex] pounds was lost in 5 weeks.
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