Answer :
Let the amount of money Travis spends on movies be $[tex]x[/tex].
Then the amount of money spent on video games will be [tex]2.5 \times x=2.5x[/tex].
We were told that Travis can spend no more than $[tex]155.60[/tex].
The key word no more than means less than or equal to.
This means that, when we add the total money spent on movies and video games we should get something less or equal to $[tex]155.60[/tex].
Hence, the inequality that describes the problem is given by;
[tex]x+2.5x \le 155.6[/tex]