Question

complete the table shown to the right for the population growth model for a certain country. the projected 2032 population is □ million. (round to one decimal place as needed.)

Explanation:

Step1: Determine the time - period

The time from 2005 to 2032 is $t=2032 - 2005=27$ years. The initial population $P_0 = 98.9$ million and the growth rate $k = 0.0176$.

Step2: Use the population - growth formula

The population - growth formula is $P = P_0e^{kt}$. Substitute $P_0 = 98.9$, $k = 0.0176$, and $t = 27$ into the formula:
$P=98.9e^{0.0176\times27}$.
First, calculate the exponent: $0.0176\times27 = 0.4752$.
Then, find $e^{0.4752}\approx1.6087$.
Finally, $P = 98.9\times1.6087\approx159.1$.

Answer:

$159.1$