Use the model below to estimate the average annual growth rate of a certain​ country's population for​ 1950, 1988, and​ 2010, where x is the number of years after 1900.

Question

y = -0.000009x^3 + 0.0025x^2 - 0.201x + 7.979

The estimated average annual growth rate of the country's population for 1950 is ?

Answer 1

To estimate the average annual growth rate for 1950, we need to substitute x = 50 into the equation and calculate the value of y.

y = -0.000009(50)^3 + 0.0025(50)^2 - 0.201(50) + 7.979

Simplifying the equation gives:

y = -0.000009(125000) + 0.0025(2500) - 0.201(50) + 7.979

y = -1.125 + 6.25 - 10.05 + 7.979

y ≈ 3.054

Therefore, the estimated average annual growth rate of the country's population for 1950 is approximately 3.054.