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 5 0.9 -6 $\frac{8}{5}$ $\frac{3}{8}$

Explanation:

Step1: Recall the rules for contraction and expansion

If \(|k|< 1\) (\(k
eq0\)), it is a contraction. If \(|k| > 1\), it is an expansion.

Step2: Analyze each scale - factor

For \(k = 0.9\), \(|0.9|=0.9<1\), so it is a contraction. For \(k=\frac{3}{8}=0.375\), \(|\frac{3}{8}| = 0.375<1\), so it is a contraction. For \(k = 5\), \(|5|=5>1\), so it is an expansion. For \(k=\frac{8}{5} = 1.6\), \(|\frac{8}{5}|=1.6>1\), so it is an expansion. For \(k=-6\), \(|-6| = 6>1\), so it is an expansion.

Answer:

Contraction: \(0.9,\frac{3}{8}\)
Expansion: \(5,-6,\frac{8}{5}\)