The function that could model this situation is an exponential function of the form f(x) = a * (1 + r)^x, where a is the initial population, r is the growth rate as a decimal, and x is the number of years.
In this case, the initial population (a) is 110,000 and the growth rate (r) is 1% per year, or 0.01.
Thus, the function that models this situation is f(x) = 110,000 * (1 + 0.01)^x.
To estimate the population in 1922, we need to find the value of x when 1920 + x = 1922.
1920 + x = 1922
x = 2
Plug x = 2 into the function to find the estimated population in 1922:
f(2) = 110,000 * (1 + 0.01)^2
≈ 110,000 * (1.01)^2
≈ 110,000 * 1.0201
≈ 112,211
Rounded to the nearest whole number, the estimated population in 1922 is 112,211. Answer: \boxed{112,211}.
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?
Use the function you selected to estimate the population in 1922.
Round your answer to the nearest whole number.
1 answer
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