Question

10 POINTS Math unit 5.11! PLEASE HELP
The total bear population in a certain area is represented by the function P=120(1.016)t , where t is time in years.

How could this function be rewritten to identify the weekly growth rate of the population? What is the weekly growth rate?

Answer 1

To write the function to show the weekly growth rate of population , we first find the weekly growth rate by dividing yearly growth rate by 52 ( as there are 52 weeks in an year)

Given function is ,

$P=120(1.016)^t$

or

$P=120(1+0.016)^t$

To convert in weekly growth rate , divide 0.016 by 52

So formula for weekly growth rate of population is

$P=120(1+ \frac{0.016}{52})^{52t}$

or

$P=120(1+ \frac{1}{3250})^{52t}$

And the weekly growth rate = $\frac{1}{3250}$