The bug will be [tex]487\frac{1}{2}[/tex] inches long once it is enlarged for the movie.
Explanation
In a horror movie ,bugs were enlarged on a scale of 1 : 325 . That means, the ratio of the original size to the enlarged size is 1 : 325
Original length of the bug is [tex]1\frac{1}{2}[/tex] inches or 1.5 inches
Suppose, the enlarged length of the bug is [tex]x[/tex] inches.
Now, according to the ratio.......
[tex]\frac{1.5}{x}=\frac{1}{325}\\ \\ x=1.5*325= 487.5 = 487\frac{1}{2}[/tex]
So, the bug will be [tex]487\frac{1}{2}[/tex] inches long once it is enlarged for the movie.