Question

The student population of Central High School in 2018 was 1572. It is

expected to increase at a rate of 4% per year. Find the number of
students the school will have in 2025.*
A. 25,755,648
B. 16,5571
C. 2069
D. 2201

Answer 1

2069

Explanation:

We can set up an exponential equation to track the number of students at any year

Mathematically, that will be;

y = I(1 + r)^t

where y is the population at any year

r is the percentage increase per year which is 4% = 4/100 = 0.04

t is the number of years from 2018 = 2025-2018 = 7

I is the population in 2018 = 1572

Thus, we have;

y = 1572(1 + 0.04)^7

y = 1572(1.04)^7

y = 2,068.645 which is approximately 2,069