In $2013$ , the population of Nevada and North Carolina were each growing at a rate of approximately $3.3 \%$ per year. In addition, the US Census Bureau estimated that the population of Nevada and North Carolina was $2$ . $8$ million and $9$ . $8$ million people, respectively. If the population growth rates in each of these states remained the same, approximately how many more people were living in North Carolina compared to Nevada in $2014$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $7$ . $0$ million $\newline$ (B) $7$ . $2$ million $\newline$ (C) $9$ . $3$ million $\newline$ (D) $\mathbf{1 3 . 0}$ million

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Q. In

2013

, the population of Nevada and North Carolina were each growing at a rate of approximately

3.3 \%

per year. In addition, the US Census Bureau estimated that the population of Nevada and North Carolina was

2

8

million and

9

8

million people, respectively. If the population growth rates in each of these states remained the same, approximately how many more people were living in North Carolina compared to Nevada in

2014

\newline

Choose

1

answer:

\newline

(A)

7

0

million

\newline

(B)

7

2

million

\newline

(C)

9

3

million

\newline

(D)

\mathbf{1 3 . 0}

million

Calculate Nevada Population $2014$ : Calculate the population of Nevada in $2014$ . $\newline$ The initial population of Nevada is $2.8$ million. The growth rate is $3.3\%$ per year. To find the population after one year, we use the formula: $\newline$ Population after $1$ year = Initial population $\times$ $(1 + \text{growth rate})$ $\newline$ For Nevada, this is: $\newline$ Population of Nevada in $2014$ = $2.8$ million $\times$ $(1 + 0.033)$
Calculate Nevada Population $2014$ : Perform the calculation for Nevada's population in $2014$ . $\newline$ Population of Nevada in $2014$ = $2.8$ million $\times 1.033$ $\newline$ Population of Nevada in $2014$ $\approx 2.8924$ million
Calculate North Carolina Population $2014$ : Calculate the population of North Carolina in $2014$ . $\newline$ The initial population of North Carolina is $9.8$ million. The growth rate is also $3.3\%$ per year. Using the same formula as in Step $1$ : $\newline$ Population of North Carolina in $2014$ = $9.8$ million $\times (1 + 0.033)$
Calculate North Carolina Population $2014$ : Perform the calculation for North Carolina's population in $2014$ . $\newline$ Population of North Carolina in $2014$ = $9.8$ million $\times 1.033$ $\newline$ Population of North Carolina in $2014$ $\approx 10.1234$ million
Calculate Population Difference: Calculate the difference in population between North Carolina and Nevada in $2014$ . $\newline$ Difference in population = Population of North Carolina in $2014$ - Population of Nevada in $2014$ $\newline$ Difference in population $\approx 10.1234$ million - $2.8924$ million
Calculate Population Difference: Perform the calculation for the difference in population. $\newline$ Difference in population $\approx 10.1234$ million - $2.8924$ million $\newline$ Difference in population $\approx 7.231$ million