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The problem asks: "Adriana drew a scale drawing of a county park. The scale of the drawing was 7 inches = 1 yard. What is the drawing's scale factor? Simplify your answer and write it as a fraction."

To find the scale factor, we need to convert the measurement into the same units and then express it as a ratio. 

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches, so \( 3 \times 12 = 36 \) inches).

Now, we can express the scale ratio:
- The drawing is 7 inches.
- The actual park is 36 inches (since 1 yard = 36 inches).

Thus, the scale factor is:
\[
\frac{7}{36}
\]

This is already in its simplest form because 7 and 36 have no common factors other than 1.

So, the scale factor is \( \frac{7}{36} \).

Would you like further details, or do you have any questions about this problem?

Here are 5 related questions to explore further:
1. What would the scale factor be if 5 inches represented 2 feet?
2. If the drawing measured 14 inches, how many yards would that represent at this scale?
3. How would you convert the scale factor \( \frac{7}{36} \) into a decimal or percentage?
4. What is the scale factor when 2 inches on a map represents 1 mile?
5. How do scale factors affect the area representation on maps or drawings?

**Tip:** When converting between units, always ensure both measurements are in the same unit before calculating a scale factor.

Adriana drew a scale drawing of a county park. The scale of the drawing was 7 inches = 1 yard. What is the drawing's scale factor? Simplify your answer and write it as a fraction.

Learn how to calculate the scale factor for a drawing where 7 inches represents 1 yard. This problem involves understanding ratios, unit conversion, and proportion simplification. Ideal for students in Grades 6-8.

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