Question

11 every five years in march, the population of a certain town is recorded. in 1995, the town had a population of 4,500 people. from 1995 to 2000, the population increased by 15%. from 2000 to 2005, the population decreased by 4%. what was the towns population in 2005?
a 4,527
b 4,968
c 4,995
d 5,382

Explanation:

Step1: Calculate 2000 population

First, find the 15% increase from the 1995 population.
The growth factor is $1 + 0.15 = 1.15$.
Population in 2000: $4500 \times 1.15 = 5175$

Step2: Calculate 2005 population

Next, find the 4% decrease from the 2000 population.
The decay factor is $1 - 0.04 = 0.96$.
Population in 2005: $5175 \times 0.96 = 4968$

Answer:

B. 4,968