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=-0.0000087x^3+0.00262x^2-0.174+8.172

The estimated average annual growth rate of the​ country's population for 1950 is_____

Answer 1

To estimate the average annual growth rate of the country's population for 1950, we need to find the value of y when x is equal to 50 (since 1950 is 50 years after 1900).

Substituting x = 50 into the equation:

y = -0.0000087(50)^3 + 0.00262(50)^2 - 0.174(50) + 8.172

Calculating the equation:

y = -0.0000087(125,000) + 0.00262(2,500) - 0.174(50) + 8.172

y ≈ -1.0875 + 6.55 - 8.7 + 8.172

y ≈ 4.855

The estimated average annual growth rate of the country's population for 1950 is approximately 4.855.