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Problem-Solving and Data Analysis Difficulty: Medium

The population of Greenville increased by $7 percent sign$ from $2015$ to $2016$ . If the $2016$ population is $k$ times the $2015$ population, what is the value of $k$ ?

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Explanation

Choice C is correct. Let $x$ be the 2015 population of Greenville. It's given that the population increased by $7 percent sign$ from 2015 to 2016. The increase in population can be written as $left parenthesis 0.07 right parenthesis x$ . The 2016 population of Greenville is given as the sum of the 2015 population of Greenville and the increase in population from 2015 to 2016. This can be rewritten as $x plus left parenthesis 0.07 right parenthesis x$ , or $1.07 x$ . Therefore, the value of $k$ is $1.07$ .

Choice A is incorrect. This is the percent, represented as a decimal, that the population increased from 2015 to 2016, not the value of $k$ .

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect. This is the value of $k$ if the population increased by $70 percent sign$ , not $7 percent sign$ , from 2015 to 2016.