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Answer :
The correct equation representing the student's savings goal is $120x >= $3600, where x is the number of months needed to save at least $3600, showing it as a linear inequality. Therefore the correct option is A.
The equation to represent the goal of saving at least $3600 in a year is $120x \">= $3600, where x represents the number of months of saving. For the student to achieve this goal, they need to save for a certain number of months, multiplying the monthly saving amount of $120 by the number of months it takes to reach or exceed the goal of $3600. This is a linear inequality that helps to determine the minimum time required to meet the savings objective.
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Rewritten by : Barada
The equation is A) $120x ≥ $3600, where x represents the number of months in the student's savings plan.
In this scenario, the student saves $120 each month. The total amount saved after x months would be 120 times the number of months (x).
So, $120x represents the total amount saved after x months.
The goal is to save at least $3600 in a year. Since there are 12 months in a year, the student wants to save $3600 or more in 12 months.
Therefore, the equation should express that $120 times the number of months (x) should be greater than or equal to $3600.
Hence, the correct equation is $120x ≥ $3600, where x represents the number of months. Option A fits this description.
