https://file.aiquickdraw.com/mathbot/file/1726617075465ptw7k9zn.png

The problem shows a hotdog that measures 9 units in the drawing, with a scale provided indicating that 10 cm on the actual hotdog corresponds to a certain number of units. To solve for the actual length in centimeters of the hotdog, we can set up a proportion based on the scale.

### Given information:
- The scale shows that 10 cm corresponds to 5 units in the drawing.
- The hotdog in the drawing measures 9 units.

### Proportion:
\[
\frac{\text{Actual length (in cm)}}{\text{Length in drawing (units)}} = \frac{10 \, \text{cm}}{5 \, \text{units}}
\]
Substituting the length in the drawing (9 units):
\[
\frac{L}{9} = \frac{10}{5}
\]
Solving for \(L\) (the actual length in cm):
\[
L = \frac{10}{5} \times 9 = 2 \times 9 = 18 \, \text{cm}
\]

### Conclusion:
The actual length of the hotdog is **18 cm**.

Would you like a further breakdown, or do you have any questions?

Here are 5 related questions to explore:
1. How would the answer change if the hotdog in the drawing were 12 units long?
2. How would you convert the length from centimeters to millimeters?
3. If the scale were 10 cm for 6 units, what would the new actual length be for a 9-unit drawing?
4. How can you determine the scale factor between two measurements?
5. How can ratios help in determining actual sizes from scaled drawings?

**Tip:** When working with scales, always make sure to match units properly before solving proportions!

What is the length, in cm, of the actual hotdog? The hotdog in the drawing has a length of 9 units, and the scale shows that 10 cm corresponds to 5 units.

Learn how to calculate the actual length of a hotdog using a proportion. The problem involves understanding scale factors, proportions, and basic ratios. Suitable for students in Grades 6-8.

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