Nadia is making a copy of an image on the copy machine. She needs to enlarge it, and decides to enlarge it by a scale factor of three. If one side of the original is 1 1/2 in., how big is that same side after she makes the copy?
Answer:
\(4\frac{1}{2}in\)
Step-by-step explanation:
We know that one side of the original is
\(1\frac{1}{2}in\)
Also, the copy machine enlarges the original by a scale factor of three. This means that the enlarged result is three times bigger that the original. Remember that a scale factor multiplies the original measure.
So, the bigger copy would be
\(3\times 1\frac{1}{2}in=3 \times \frac{3}{2}=\frac{9}{2}=4\frac{1}{2}in\)
Therefore, the image changed from \(1\frac{1}{2}in\) to \(4\frac{1}{2}in\).