Answer
$P = 80.8498 \cdot (1.0127^t)$
According to the model, the estimate of the population in 1925 is $~~111~million$
According to the model, the estimate of the population in 2020 is $~~368~million$
Work Step by Step
Let $t$ be the number of years after 1900.
When we input the data from the table from $t = 0$ to $t = 110$, the exponential regression function returns the following equation:
$P = 80.8498 \cdot (1.0127^t)$
We can estimate the population in 1925:
$P = 80.8498 \cdot (1.0127^t)$
$P = 80.8498 \cdot (1.0127^{25})$
$P = 111$
According to the model, the estimate of the population in 1925 is $~~111~million$
We can estimate the population in 2020:
$P = 80.8498 \cdot (1.0127^t)$
$P = 80.8498 \cdot (1.0127^{120})$
$P = 368$
According to the model, the estimate of the population in 2020 is $~~368~million$
