Answer: [tex]k=\frac{x}{5}[/tex]
Step-by-step explanation:
The width of the pre-image = x
The width of the image= 5 inches
Let 'k' be the scale factor for the dilation.
We know that after dilation, the dimensions of pre-image multiply with scale factor to get the dimension of the image.
It gives,
[tex]5k=x\\\Rightarrow\ k=\frac{x}{5}[/tex]
Hence, the scale factor should be [tex]k=\frac{x}{5}[/tex]