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Problem-Solving and Data Analysis / Percentages Difficulty: Medium

Which of the following represents the result of increasing the quantity x by 9%, where $x is greater than 0$ ?

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Explanation

Choice A is correct. Increasing the positive quantity x by 9% is the result of adding 9% of x to x. 9% of x can be represented algebraically as $the fraction, 9 over 100, end fraction, times x$ , or $0 point 0 9 x$ . Adding this expression to x yields $x plus 0 point 0 9 x$ , or $1 point 0 9 x$ .

Choice B is incorrect. This represents 9% of x. Choice C is incorrect. This represents increasing x by 9, not by 9%. Choice D is incorrect. This represents increasing x by 0.09, not by 9%.