To represent the model with the given information, we need to determine the total number of parts shaded and the total number of parts available.
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Total Parts:
- Each heptagon has 7 parts.
- There are 5 heptagons, so total parts = 5 heptagons × 7 parts/heptagon = 35 parts.
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Shaded Parts:
- The first four heptagons are completely shaded: 4 heptagons × 7 parts/heptagon = 28 shaded parts.
- The last heptagon has 4 parts shaded.
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Total Shaded Parts:
- Total shaded parts = 28 (from the first four heptagons) + 4 (from the last heptagon) = 32 shaded parts.
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Fraction Representing the Model:
- The fraction representing the model is the total shaded parts (32) over the total parts (35), which gives us the fraction \( \frac{32}{35} \).
Now, looking at the responses:
- 326: Not a valid fraction
- 447: Not a valid fraction
- 2847: Does not match \( \frac{32}{35} \)
- 4: Not a fraction representation
Given the options, it seems that none directly represent \( \frac{32}{35} \). However, if we are strictly looking for fractions that were provided, the closest option which mirrors the calculation as a whole number may need clarification on the responsiveness since the correct total was not listed.
If you meant rounding or incorrectly noted the parts, double-check the source. The correct fraction representation based on the shading provided and total counts is indeed \( \frac{32}{35} \), or if forced, a response may a miscommunication.
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