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Travis has decided to budget his spending money. He can spend no more than $125.75 every month. He has also decided to spend 4.3 times as much money on video games as he spends on movies. What linear inequality describes this problem? A. 4.3x≥125.75. B. 4.3x+x≥125.75. C. 4.3x≤125.75. D. 4.3x+x≤125.75

Verified Answer :

The answer is letter D. 4.3x+x≤125.75. 

x represents the amount of money he spends for movies. His total expenditure (video games = 4.3x, movies = x) should be equal or less than $125.75

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Answer:

D. \(x+4.3x\leq 125.75\)

Step-by-step explanation:

Let the amount spent on movies = x (in dollars)

As Travis spends 4.3 times the amount on video games than movies.

So, the amount spent on video games = \(4.3x\) (in dollars).

Since, 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,

Amount spent on movies + Amount spent on video games ≤ 125.75.

i.e. \(x+4.3x\leq 125.75\)

Hence, option D represents the situation.

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