Question

complete the table shown to the right for the population growth model for a certain country. the projected 2045 population is □ million. (round to one decimal place as needed.)

Explanation:

Step1: Calculate the number of years

The number of years \( t = 2045 - 2006=39 \)

Step2: Use the population growth formula

The population growth formula is \( P = P_0e^{kt} \), where \( P_0 = 127.5 \), \( k=0.0122 \), and \( t = 39 \)

Substitute the values into the formula: \( P=127.5e^{0.0122\times39} \)

First, calculate \( 0.0122\times39 = 0.4758 \)

Then, \( e^{0.4758}\approx1.6097 \)

Finally, \( P = 127.5\times1.6097\approx205.3 \)

Answer:

\( 205.3 \)