Question

An exponential regression equation relative to the population growth of a state is determined to be

f(x)=1.182
f(x)=1.182⋅(1.34)
x
, where

f(x) is the population of the state and
x is the number of years since 1900. Based on this equation, approximately what is the population of the state in 1949?

Answer 1

To approximate the population of the state in 1949, evaluate the exponential regression equation with x = 49.

Step-by-step explanation:

To approximate the population of the state in 1949 using the given exponential regression equation, we need to find the value of f(x) when x = 1949 - 1900 = 49.

Substituting the value of x into the equation, we get:

f(49) = 1.182 * (1.34)^(49)

Using a calculator, we can evaluate this expression to find that the population of the state in 1949 is approximately 68.579.