Question

Use the image to answer the question.
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Five heptagons are divided into 7 equal parts. The first four heptagons are shaded completely while the last heptagon shows 4 parts shaded.
Which fraction represents the model?

(1 point)
Responses

326
Start Fraction 32 over 6 End Fraction

447
4 Start Fraction 4 over 7 End Fraction

2847
28 Start Fraction 4 over 7 End Fraction

4

Answer 1

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.

1. **Total Parts:**
- Each heptagon has 7 parts.
- There are 5 heptagons, so total parts = 5 heptagons × 7 parts/heptagon = 35 parts.

2. **Shaded Parts:**
- The first four heptagons are completely shaded: 4 heptagons × 7 parts/heptagon = 28 shaded parts.
- The last heptagon has 4 parts shaded.

3. **Total Shaded Parts:**
- Total shaded parts = 28 (from the first four heptagons) + 4 (from the last heptagon) = 32 shaded parts.

4. **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.