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Trevon is going to buy a coat and a hat. The coat costs 3 times as much as the hat. He must spend less than $94. If the cost of the hat is [tex]x[/tex] dollars, which inequality best models this situation?

A. [tex]3x < 94[/tex]
B. [tex]3x > 94[/tex]
C. [tex]4x < 94[/tex]
D. [tex]4x > 94[/tex]

Answer :

The correct inequality to represent the situation where the coat costs three times as much as the hat and the total cost must be less than $94 is 4x < 94. Therefore, option C - 4x<94 is the correct answer.

Trevon is interested in buying a coat and a hat, with the coat costing three times as much as the hat. Therefore, if the hat costs x dollars, then the coat costs 3x dollars. The total cost for both items is the cost of the hat plus the cost of the coat, which is x + 3x or 4x dollars. Trevon needs to spend less than $94 on these items, which gives us the inequality 4x < 94. So, the inequality that best models this situation is option C - 4x < 94.

Therefore, option C - 4x<94 is the correct answer.

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