Question

problems 8 - 9: a group of biologists tracked the number of squirrels in a town. they represented this number using the equation $n = 40cdot1.5^{t}$, where $n$ is the total number of squirrels and $t$ is the number of years since the biologists started counting. 8. explain what the 40 and 1.5 mean in this - situation. 9. how many squirrels do the biologists predict there will be 2 years after they started counting?

Explanation:

Step1: Identify the values of variables

We are given the equation $n = 40\cdot1.5^{t}$, and we need to find $n$ when $t = 2$.

Step2: Substitute the value of $t$ into the equation

Substitute $t = 2$ into $n = 40\cdot1.5^{t}$, we get $n=40\times1.5^{2}$.

Step3: Calculate $1.5^{2}$

$1.5^{2}=1.5\times1.5 = 2.25$.

Step4: Calculate the value of $n$

$n = 40\times2.25=90$.

Answer:

90