To compare the ratios of the two models given, we need to analyze the shaded segments in each.
Model 1: 4 to 5
- This model has 5 sections.
- It is labeled 4 to 5, which means out of the 5 sections, 4 sections are shaded.
Shaded segments in Model 1: 4 sections out of 5
Ratio: \( \frac{4}{5} \)
Model 2: 9 to 10
- This model has 10 sections.
- It is labeled 9 to 10, which means 9 sections are shaded out of 10.
Shaded segments in Model 2: 9 sections out of 10
Ratio: \( \frac{9}{10} \)
Comparing the Ratios
To compare \( \frac{4}{5} \) and \( \frac{9}{10} \):
- Convert both fractions to the same denominator (which can be 10 in this case).
- \( \frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10} \)
- \( \frac{9}{10} \) remains as is.
Now we have:
- Model 1: \( \frac{8}{10} \)
- Model 2: \( \frac{9}{10} \)
Conclusion
Comparing \( \frac{8}{10} \) and \( \frac{9}{10} \):
- \( \frac{8}{10} < \frac{9}{10} \)
Thus, the shaded portion in Model 1 (with a ratio of 4:5) is less than that in Model 2 (with a ratio of 9:10).
Summary:
- Model 1 (4:5): 4 out of 5 sections shaded.
- Model 2 (9:10): 9 out of 10 sections shaded.
- The ratios show that Model 1 has a smaller proportion shaded compared to Model 2.
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