[tex]x + 4.3x \leq 125.75[/tex] is the inequality that describes this problem
Given that Travis can spend no more than $125.75 every month
To find: linear inequality that describes the problem
Let the amount spent on movies = x dollars
Given that Travis decided to spend 4.3 times as much money on video games as he spends on movies
Amount spent on video games = 4.3 (amount spent on movies)
Amount spent on video games = 4.3x
Travis can spend no more than $125.75. That is, he can spend less than or equal to $125.75
Thus, the inequality representing the situation is:
[tex]\text{ Amount spent on movies + Amount spent on video games } \leq 125.75[/tex]
[tex]x + 4.3x \leq 125.75[/tex]
Thus the required inequality is found