SAT Question 405c5ced: Nonlinear Functions answer and explanation with Desmos solution

Choice A is correct. For an exponential function of the form $C\left(t\right)=a(b{)}^t$, where $a$ and $b$ are constants, the initial value of the function, or the value of the function when $t=0$, is $a$, and the value of the function changes by a factor of $b$ each time $t$ increases by $1$. It follows that in the given function, the initial value is $6$ and the value of the function changes by a factor of $1.5$ each time $t$ increases by $1$. It's given that the function $C$ gives the estimated number of clients at a certain business and $t$ is the number of weeks since the business opened. Therefore, the best interpretation of the number $6$ in this context is the estimated number of clients when $t=0$, or when the business opened.