Fayetteville is experiencing a population movement out of the city to the suburbs. Currently 85% of the total population live in the city with the remaining 15% living in the suburbs. It has been shown that each year 7% of the city residents move to the suburbs, while only 1% of the suburb population move back to the city. Assuming population remains constant for both, what percent of the total will remain in the suburbs after 5 years. Express your answer rounded to hundredths of a percent.
A) 35.56%
B) 60.28%
C) 39.72%
D) 64.44

Question

Quizplus · Accepted Answer

The problem can be solved using the given percentages and applying them year by year for 5 years. Initially, 85% live in the city and 15% in the suburbs. Each year, 7% of city residents move to the suburbs, and 1% of suburb residents move to the city. After calculating these movements for 5 years, the percentage of the total population living in the suburbs rounds to 39.72%.

Fayetteville Is Experiencing a Population Movement Out of the City