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Problem-Solving and Data Analysis / Percentages Difficulty: Medium

Which expression represents the result of increasing a positive quantity $w$ by $43 percent sign$ ?

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Explanation

Choice A is correct. The result of increasing a positive quantity $w$ by $x %$ can be represented by the expression $(1 + \frac{x}{100}) w$ . Therefore, the result of increasing a positive quantity $w$ by $43 percent sign$ can be found by substituting $43$ for $x$ in the expression $(1 + \frac{x}{100}) w$ , which gives $(1 + \frac{43}{100}) w$ , or $1.43 w$ . Thus, the expression $1.43 w$ represents the result of increasing a positive quantity $w$ by $43 percent sign$ .

Choice B is incorrect. This is the result of decreasing a positive quantity $w$ by $43 percent sign$ .

Choice C is incorrect. This is the result of increasing a positive quantity $w$ by $4,200 percent sign$ .

Choice D is incorrect. This is the result of decreasing a positive quantity $w$ by $57 percent sign$ .