A real 3cm bug drawn to be 10cm in a picture. What scale factor was used ( write as mixed # )?

Answer 1

To find the scale factor used in the drawing, you can divide the size of the drawing by the actual size of the bug.

The actual size of the bug is 3 cm, and the size in the picture is 10 cm.

The scale factor is calculated as:

\[ \text{Scale Factor} = \frac{\text{Size in Picture}}{\text{Actual Size}} = \frac{10 \text{ cm}}{3 \text{ cm}} = \frac{10}{3} \]

To express \(\frac{10}{3}\) as a mixed number:

1. Divide 10 by 3, which equals 3 with a remainder of 1.
2. Therefore, \(\frac{10}{3} = 3 \frac{1}{3}\).

The scale factor used is \(3 \frac{1}{3}\).