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= -0.0000088x^3+0.00214x^2-0.202+7.906

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 substitute x = 50 into the equation:

y = -0.0000088(50^3) + 0.00214(50^2) - 0.202(50) + 7.906

Calculating this expression gives us:

y ≈ -0.0000088(125000) + 0.00214(2500) - 0.202(50) + 7.906
y ≈ -1.1 + 5.35 - 10.1 + 7.906
y ≈ 1.156

Therefore, the estimated average annual growth rate of the country's population for 1950 is approximately 1.156.