Question

after studying the population for a few years, they determined that the rat population increases exponentially, according the the model $f(t) = 50(1.22)^t$. what was the rat population 12 years after the study began? round down to the nearest whole rat. approximately 543 rats approximately 621 rats approximately 565 rats approximately 599 rats

Explanation:

Step1: Substitute t=12 into model

$f(12)=50(1.22)^{12}$

Step2: Calculate $1.22^{12}$

$1.22^{12}\approx10.86$

Step3: Multiply by initial population

$50\times10.86=543$

Step4: Round down to whole rat

$543$ (already a whole number)

Answer:

approximately 543 rats