SAT Question 1d3c5c95: Nonlinear Functions answer and explanation with Desmos solution

Choice A is correct. For an exponential function in the form $f\left(x\right)=a{\left(b\right)}^x$, where $a$ and $b$ are positive constants and $b<1$, the initial value of $f(x)$, or the value of $f(x)$ when $x=0$, is $a$ and the value of $f(x)$ decreases by $100(1-b)\%$ each time $x$ increases by $1$. Therefore, the initial value of the function $f\left(x\right)=4,000{\left(0.75\right)}^x$, or the value of $f(x)$ when $x=0$, is $4,000$. Therefore, the best interpretation of $4,000$ in this context is the estimated initial beetle population for this species and area in $2012$.