SAT Question b5bc47d5: Ratios Rates Proportional Relationships And Units answer and explanation with Desmos solution

Choice C is correct. It’s given that in a scale model, a length of $1$ inch is equivalent to a length of $\frac{17}{3}$ feet in the actual office building. This means that the ratio of a length, in feet, in the actual office building to the corresponding length, in inches, in the model is $\frac{17}{3}$ to $1$. Therefore, the length, in inches, in the model corresponding to a length in the actual office building of $x$ feet can be found by dividing $x$ by $\frac{17}{3}$. Dividing by $\frac{17}{3}$ is equivalent to multiplying by $\frac{3}{17}$, so the corresponding length, in inches, in the model in terms of $x$ can be represented by the expression $\frac{3x}{17}$.