Question

complete the table shown to the right for the population growth model for a certain country.

the projected 2031 population is (square) million.
(round to one decimal place as needed.)

Explanation:

Step1: Calculate the number of years

The number of years from 2004 to 2031 is \(t = 2031 - 2004=27\) years.

Step2: Use the population growth formula

The population growth formula is \(P = P_0e^{kt}\), where \(P_0 = 128.3\) (initial population), \(k = 0.0115\) (growth rate), and \(t = 27\).
Substitute the values into the formula: \(P=128.3e^{0.0115\times27}\).
First, calculate \(0.0115\times27 = 0.3105\).
Then, \(e^{0.3105}\approx1.364\).
So, \(P = 128.3\times1.364\).
\(P=128.3\times1.364 = 174.0\) (rounded to one decimal place).

Answer:

\(174.0\)