A city had a population of 110,000 in 1920. The population grew at a rate of 1% per year thereafter.
Which function could model this situation?
a) f(x) = 110,000(1)^x
b) f(x) = 110,000(1.01)^x
c) f(x) = 110,000 (0.01)^x
d) f(x) = 110,000(1.1)^x
Use the function you selected to estimate the population in 1922.
Round your answer to the nearest whole number.
people
The correct function is d) f(x) = 110,000(1.01)^x.
To estimate the population in 1922, we need to find x = 1922 - 1920 = 2 years after 1920.
f(2) = 110,000(1.01)^2
f(2) = 110,000(1.0201)
f(2) ≈ 112,211
Therefore, the estimated population in 1922 would be 112,211 people.