Question

classify each scale factor as a contraction or an expansion. drag and drop the choices into the boxes to complete the table. contraction expansion $\frac{3}{2}$ $\frac{1}{3}$ 4 0.8 - 3

Explanation:

Step1: Recall the rules for contraction and expansion

If \(0 < |k| < 1\), it is a contraction. If \(|k|> 1\), it is an expansion.

Step2: Analyze each scale - factor

For \(\frac{3}{2}=1.5\), \(| \frac{3}{2}| = 1.5>1\), so it is an expansion.
For \(\frac{1}{3}\), \(|\frac{1}{3}|=\frac{1}{3}<1\), so it is a contraction.
For \(4\), \(|4| = 4>1\), so it is an expansion.
For \(0.8=\frac{4}{5}\), \(|0.8|=\frac{4}{5}<1\), so it is a contraction.
For \(- 3\), \(|-3| = 3>1\), so it is an expansion.

Answer:

Contraction: \(\frac{1}{3},0.8\)
Expansion: \(\frac{3}{2},4, - 3\)