Apply scale factors to length, area, and volume using k, k^2, and k^3 relationships.
Find the scale factor from one length to another
Problem
A length changes from \(4\) to \(12\). Find the scale factor.
Big Picture
What this problem is really about
The direction of the change controls the scale-factor ratio. We’ll label the starting length as the original and the ending length as the image, divide image by original instead of taking a difference or reversing the quotient, and test the factor by multiplying forward to recover the image length.
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