Answer
The required model is \[A=\left( 1.2 \right)\cdot \left( 0.000000000417 \right)\cdot {{\left( 1.021 \right)}^{t}}\].
Work Step by Step
The regression model for the population is obtained as
\[P=\left( 0.000000000417 \right)\cdot {{\left( 1.021 \right)}^{t}}\]
Here, \[\hat{P}\] is the predicted value of the population for the independent variable time \[t\].
The model of the used land is denoted by \[A\] that is 1.2 times of the regression model of the population.
Therefore, the required model is
\[\begin{align}
& A=1.2P \\
& =\left( 1.2 \right)\cdot \left( 0.000000000417 \right)\cdot {{\left( 1.021 \right)}^{t}} \\
& =\left( 0.0000000005004 \right)\cdot {{\left( 1.021 \right)}^{t}}
\end{align}\]
