7% The population of Greenville increased by from 2015 to 2016. If the 2016 population is k times the 2015 population, what is the value of k?
Correct answer: C (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice C is correct. Let x be the 2015 population of Greenville. It’s given that the 7% population increased by from 2015 to 2016. The increase in population can 0.07 be written as ^ hx. 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. + 0.07 1.07 1.07 This can be rewritten as x ^ hx, or x. Therefore, the value of k is . 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 70% 7% the value of k if the population increased by , not , from 2015 to 2016.
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