Question

Given that $n=12\times 2^{\frac{t}{3}}$
The number of dogs in a certain district is shown by the formula above, such that $n$ is the number of dogs and $t$ is the time, in months, since the district came into existence. If $2$ years have passed since the start of the district, find the present number of dogs in the district.

Answer 1

$n=12\times 2^{\frac{t}{3}}$, $n$ being the number of dogs at time $t$, being in months.

Here, $t=2$ years $=24$ months.

$\therefore n=12\times 2^{\frac{24}{3}}$

$\therefore n=12\times 2^8=12\times 256$

Thus, $n=3072$