Sam made a scale drawing of a campsite. He used the scale 6 inches = 4 feet. What scale factor does the drawing use?

The scale factor is a ratio that compares the drawing's dimensions to the actual dimensions. In this case, the scale is given as 6 inches = 4 feet. To find the scale factor, we need to express both the drawing and actual measurements in the same unit.

1. Convert feet to inches (since the drawing measurement is in inches):
   - 4 feet = \( 4 \times 12 = 48 \) inches.

2. Now, the scale is:
   - 6 inches (on the drawing) corresponds to 48 inches (in real life).

3. To find the scale factor, divide the drawing measurement by the actual measurement:
   \[
   \text{Scale factor} = \frac{6}{48} = \frac{1}{8}
   \]

So, the scale factor is **1:8**. This means that every inch on the drawing represents 8 inches in real life.

Would you like to explore more about scale factors or ask any questions?

Here are 5 related questions to consider:
1. How would you use a 1:8 scale factor to find the actual length of a tent in the drawing?
2. If the drawing length of a campsite is 12 inches, what is the actual length?
3. What scale factor would it be if 3 inches on the drawing represented 12 feet?
4. How do you convert a scale factor into a percentage reduction?
5. What is the effect of increasing the scale factor on the accuracy of a drawing?

**Tip:** Always make sure to convert units to the same measurement before calculating the scale factor!

Learn how to calculate the scale factor when Sam uses the scale 6 inches = 4 feet for a campsite drawing. This example demonstrates key math concepts, including ratios and unit conversions, suitable for students in Grades 6-8.

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