Answer:
The scale factor is 1.5
Step-by-step explanation:
Given
[tex]\left| OA\right| =5[/tex]
[tex]\left| OA'\right| =7.5[/tex]
Required
Determine the scale factor
The scale factor (k) is calculated using:
[tex]k = \frac{\left| OA'\right|}{\left| OA\right|}[/tex]
Substitute values for OA and OA'
[tex]k = \frac{7.5}{5}[/tex]
[tex]k = 1.5[/tex]
The scale factor is 1.5
