Question

To find the scale factor used to create the travel version of the triangular piece, we can set up the ratio of the sides of the original triangle to the sides of the travel version of the triangle.

The original triangle measures 3 inches on each side, and the travel version measures 0.5 inches on each side.

The scale factor (k) can be calculated as follows:

\[ k = \frac{\text{side of travel version}}{\text{side of original version}} = \frac{0.5}{3} \]

Now, calculating the ratio:

\[ k = \frac{0.5}{3} = \frac{1}{6} \]

This means the travel version triangle is scaled down by a factor of \(\frac{1}{6}\) (or negative 1/6 in the way it might be interpreted). Therefore, the correct response is:

\(-\frac{1}{6}\)

So, the correct answer is: −16 (referring to \(-\frac{1}{6}\)).