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

Question

The population of City A 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. It's given that the population of City A increased by 7 % from 20 15 to 20 16 . Therefore, the population of City A in 20 16 includes 100 % of the population of City A in 20 15 plus an additional 7 % of the population of City A in 20 15 . This means that the population of City A in 20 16 is 107 % of the population in 20 15 . Thus, the population of City A in 20 16 is 107 100 , or 1.07 , times the 20 15 population. Therefore, the value of k is 1.07 . Choice A is incorrect. This would be the value of k if the population in 20 16 was 7 % of the population in 20 15 . Choice B is incorrect. This would be the value of k if the population in 20 16 was 70 % of the population in 20 15 . Choice D is incorrect. This would be the value of k if the population increased by 70 % , not 7 % , from 20 15 to 20 16 .

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