Answer
$P(t)=10(1.0175)^{t}$
Work Step by Step
We define our variables as
$P(t)=\text{Population of animals}$
$t=\text{Time in years}$
Since the growth started with $10$ animals, in our model,
$a=10$.
The growth rate $r$ is $1.75\%=0.0175$
We can find the base using the formula
$b=1+r$
$b=1+0.0175=1.0175$
Exponential model is of the form $P(t)=a\cdot b^{t}$
Therefore, our model is $P(t)=10(1.0175)^{t}$
