Travis has decided to budget his spending money. he can spend no more than $143.15 every month. he has also decided to spend 5.2 times as much money on video games as he spends on movies. what linear inequality describes this problem

Since he can spend no more than 143.15 dollars, that means that he can spend less than or equal to that. In addition, his total money spent is the amount of money he spends on movies (x) + the amount of money spent on videogames (5.2 times x)=5.2x+x. Since less than or equal to is represented by ≤ (the alligator is trying to eat the higher side!), we can write it as 
5.2x+x.≤143.15