Question

Travis has decided to budget his spending money. He can spend no more

Answer 1

$x + 4.3x \leq 125.75$ is the inequality that describes this problem

Solution:

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:

$\text{ Amount spent on movies + Amount spent on video games } \leq 125.75$

$x + 4.3x \leq 125.75$

Thus the required inequality is found