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Which situation is best described by the equation below?

\[ 4,880 - 300m = 3,140 + 280m \]

A. In 2005, Fashion Express Magazine had 4,880 subscribers while New Trends Magazine had 3,140 subscribers. Since then, Fashion Express Magazine was losing 300 subscribers per month while New Trends Magazine was gaining 280 subscribers per month. In how many months, \( m \), will the subscribers of both magazines be the same?

B. In 2005, Fashion Express Magazine had 3,140 subscribers while New Trends Magazine had 4,880 subscribers. Since then, Fashion Express Magazine was losing 300 subscribers per month while New Trends Magazine was gaining 280 subscribers per month. In how many months, \( m \), will the subscribers of both magazines be the same?

C. In 2005, Fashion Express Magazine had 4,880 subscribers while New Trends Magazine had 3,140 subscribers. Since then, Fashion Express Magazine was gaining 300 subscribers per month while New Trends Magazine was losing 280 subscribers per month. In how many months, \( m \), will the subscribers of both magazines be the same?

D. In 2005, Fashion Express Magazine had 3,140 subscribers while New Trends Magazine had 4,880 subscribers. Since then, Fashion Express Magazine was gaining 300 subscribers per month while New Trends Magazine was losing 280 subscribers per month. In how many months, \( m \), will the subscribers of both magazines be the same?

Answer :

Final answer:

The equation 4,880 – 300m = 3,140 + 280m best describes situation A, where Fashion Express Magazine starts with 4,880 subscribers and loses 300 each month, while New Trends Magazine starts with 3,140 subscribers and gains 280 each month.

Explanation:

The situation that is best described by the equation 4,880 – 300m = 3,140 + 280m is option A. In this scenario, the Fashion Express Magazine starts with 4,880 subscribers and loses 300 subscribers each month. On the other hand, the New Trends Magazine begins with 3,140 subscribers and gains 280 subscribers per month. The variable 'm' refers to the number of months until the subscribers of both magazines are the same. This scenario represents a linear equation situation where the rates of change (subscribers per month) are constant and opposite.

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