Population

Problem:




Solution:

a) The 10-year growth factor is $\frac{1.307}{0.961} = 1.3600 ...$
b) The 1-year growth factor is $r = 1.36^{\frac{1}{10}} = 1.0312...$
Therefore the function is $f(t) = 0.961 \times r^t$.

ci) $f(6)$
cii)  $f(3)=$
ciii)  $f(8)=$

d) Here we need to solve an equation

$f(t) = 1.15$.

Expanding, we have $0.961 \times r^t = 1.15$, taking logarithm we get the answer $t = 5.8$.
Since we want the year, it would be 1996.