Question

23. A biology class at Central High School predicted that a local population ofanimals will double in size every 12 years. The population at the beginning of2014 was estimated to be 50 animals. Prepresents the population years after2014, then which of the following equations represents the dass's model of thepopulation over time?#23

Answer 1

SOLUTION:

Step 1:

Considering the situation painted in the question, it shows that we are working with an exponential function.

Step 2:

Since a period is 12 years, then n years will be n divided by 12 (i.e n / 12)

Step 3:

The estimated population at the beginning was 50

Step 4:

So the equation that represents the class model of the population over time is;

$P=50(2)^{\frac{n}{12}}$

This makes option D the correct option.