SAT Question 763e6769: Ratios Rates Proportional Relationships And Units answer and explanation with Desmos solution

Choice A is correct. It's given that the ratio $x$ to $y$ is equivalent to the ratio $12$ to $t$. This can be represented by $\frac{x}{y}=\frac{12}{t}$. Substituting $156$ for $x$ in this equation yields $\frac{156}{y}=\frac{12}{t}$. This can be rewritten as $12y=156t$. Dividing both sides of this equation by $12$ yields $y=13t$. Therefore, when $x=156$, the value of $y$ in terms of $t$ is $13t$.