To find the scale factor used in the drawing of the bug, you can divide the size of the drawn bug by the size of the real bug.
The size of the drawn bug is 10 cm, and the size of the real bug is 3 cm.
Scale factor = \(\frac{\text{Size of the drawing}}{\text{Size of the real bug}}\)
\[ \text{Scale factor} = \frac{10 , \text{cm}}{3 , \text{cm}} = \frac{10}{3} \]
Now, to convert \(\frac{10}{3}\) into a mixed number:
- Divide 10 by 3, which gives you 3 with a remainder of 1.
- So, \(\frac{10}{3} = 3 \frac{1}{3}\).
Thus, the scale factor used is \(3 \frac{1}{3}\).