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

1 answer

To find the scale factor, we can divide the size of the drawing by the size of the real object.

The real bug size is 3 cm, and the drawn bug size is 10 cm.

The scale factor is calculated as follows:

\[ \text{Scale factor} = \frac{\text{Size of drawing}}{\text{Size of real object}} = \frac{10 \text{ cm}}{3 \text{ cm}} \approx 3.33 \]

To express this as a mixed number:

  1. Divide 10 by 3:

    • 10 divided by 3 equals 3 with a remainder of 1.
  2. Therefore, we can express it as:

    • \(3 \frac{1}{3}\)

So, the scale factor used is \(3 \frac{1}{3}\).