The population of the state of Georgia in 2001 was about 8,384,000. The average growth rate from 2000 to 2001 was 2.4%. What was the approximate population in 2000?
A) 6,238,100
B) 7,284,700
C) 8,028,200
D) 8,187,500

Question

Quizplus · Accepted Answer

Let x be the population in 2000. Then, the population in 2001 would be x + 0.024x = 1.024x.
We know that the population in 2001 is 8,384,000. Therefore, we can write:
1.024x = 8,384,000
x = 8,384,000 / 1.024
x ≈ 8,187,500

Therefore, the population in 2000 was approximately 8,187,500. 
The closest choice to this answer is D, which is 8,187,500.

The Population of the State of Georgia in 2001 Was