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

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Accepted Answer

Choice C is correct. Let x be the 2015 population of Greenville. It’s given that the population increased by 7% from 2015 to 2016. The increase in population can be written as (0.07)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 + (0.07)x, or 1.07x. 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%, not 7%, from 2015 to 2016.

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