SAT Question 67f4b449: Nonlinear Functions answer and explanation with Desmos solution

Choice A is correct. The function $f$ gives the area of the rectangle, in ${\text{ft}}^2$, if its width is $w$ ft. Since the value of $f\left(14\right)$ is the value of $f\left(w\right)$ if $w=14$, it follows that $f\left(14\right)=1,176$ means that $f\left(w\right)$ is $1,176$ if $w=14$. In the given context, this means that if the width of the rectangle is $14$ ft, then the area of the rectangle is $1,176{\text{ft}}^2$.