SAT Question 9b5b23fc: Two-variable Data Models And Scatterplots answer and explanation with Desmos solution

Choice D is correct. It's given that for $x>0$, $f\left(x\right)$ is equal to $201\%$ of $x$. This is equivalent to $f\left(x\right)=\frac{201}{100}x$, or $f\left(x\right)=2.01x$, for $x>0$. This function indicates that as $x$ increases, $f\left(x\right)$ also increases, which means $f$ is an increasing function. Furthermore, $f\left(x\right)$ increases at a constant rate of $2.01$ for each increase of $x$ by $1$. A function with a constant rate of change is linear. Thus, the function $f$ can be described as an increasing linear function.