sat suite question viewer

Problem-Solving and Data Analysis / Percentages 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 $k$ ?

Back question 24 of 78 Next

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78

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.