Question

In 2014, the population of a state was approximately 1,752,000. If the population decrease was about 0.46%, find the population of the state in 2016.

A. 1,743,896

B. 1,743,040

C. 1,743,280

D. 1,742,620

Answer 1

To calculate the population of the state in 2016 with a 0.46% annual decrease from 1,752,000 in 2014, you multiply the population by 0.0046, subtract it from the original population for two consecutive years, and get the answer B. 1,743,040.

Step-by-step explanation:

The subject question involves calculating the population size of a state over a two-year period given an annual population decrease rate. To find the population of the state in 2016, we need to apply the percentage decrease to the population in 2014 for two consecutive years.

Here's how to calculate it step-by-step:

1. Calculate the annual decrease by multiplying the population in 2014 by the decrement percentage. For 2014, the population is 1,752,000 and the decrement is 0.46%, so the calculation will be 1,752,000 * 0.0046.
2. Subtract the annual decrease from the population in 2014 to get the population in 2015. Then do the same calculation again to find the population in 2016.
3. The correct calculation is 1,752,000 - (1,752,000 * 0.0046) to get the 2015 population, and then the 2016 population is the 2015 result - (2015 result * 0.0046).

When you carry out these calculations, you’ll find that the correct answer is B. 1,743,040 for the population in 2016 after applying the 0.46% decrease over two years.