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

Question

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 ?

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 1.07 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 % , not 7 % , from 2015 to 2016.

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