Use the image to answer the question.

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.