Nonlinear functions SAT question

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

Choice B is incorrect and may result from conceptual errors.

Choice C is incorrect and may result from conceptual errors.

Choice D is incorrect and may result from interpreting $f(w)$ as the width, in $\text{ft}$, of the rectangle if its area is $w{\text{ft}}^2$, rather than as the area, in ${\text{ft}}^2$, of the rectangle if its width is $w\text{ft}$.