I - Predict Mo"
In 2015, a certain municipality in Quezon Province has a population of 45,
300. Each year, the population increases at a rate of about 5%.
a. What is the growth factor of the municipality?
b. Determine an equation to represent the problem?
c. What is the population of the municipality in 2020, use the equation in
letter (b)?
d. If the population continues to increase at the same rate, what is the
population in 2025?
Answers
Given : In 2015, a certain municipality in Quezon Province has a population of 45, 300.
Each year, the population increases at a rate of about 5%.
To Find : a. What is the growth factor of the municipality?
b. Determine an equation to represent the problem?
c. What is the population of the municipality in 2020, use the equation in
letter (b)?
d. If the population continues to increase at the same rate, what is the
population in 2025?
Solution:
population increases at a rate of about 5%.
= 5/100
= 0.05 times
increased population = 1.05 times
population after n years = 45300 (1.05)ⁿ
population of the municipality in 2020,
= 45300 (1.05)⁵
= 57,816
population of the municipality in 2025,
= 45300 (1.05)¹⁰
= 73,789
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