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Percentages SAT question

Math · Problem-Solving and Data Analysis · Medium · Answer it here, explanation included.

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

ExplanationShow

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%.

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