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Algebra / Linear equations in one variable Difficulty: Medium

A company that creates and sells tape dispensers calculates its monthly profit, in dollars, by subtracting its fixed monthly costs, in dollars, from its monthly sales revenue, in dollars. The equation $15,000 = 2.00 x - 4,500$ represents this situation for a month where $x$ tape dispensers are created and sold. Which statement is the best interpretation of $2.00 x$ in this context?

The monthly sales revenue, in dollars, from selling $x$ tape dispensers

The monthly sales revenue, in dollars, from each tape dispenser sold

The monthly cost, in dollars, of creating each tape dispenser

The monthly cost, in dollars, of creating $x$ tape dispensers

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Explanation

Choice A is correct. It’s given that the equation $15,000 = 2.00 x - 4,500$ represents this situation for a month where $x$ tape dispensers are created and sold. It’s also given that the company calculates its monthly profit, in dollars, by subtracting its fixed monthly costs, in dollars, from its monthly sales revenue, in dollars. It follows that $2.00 x$ represents the monthly sales revenue, in dollars. Therefore, the best interpretation of $2.00 x$ in this context is the monthly sales revenue from selling $x$ tape dispensers.

Choice B is incorrect. This is the best interpretation of $2.00$ , not $2.00 x$ .

Choice C is incorrect and may result from conceptual errors.

Choice D is incorrect. This is the best interpretation of $4,500$ , not $2.00 x$ .