SAT Question 0d125b35: Ratios Rates Proportional Relationships And Units answer and explanation with Desmos solution

Choice C is correct. It's given that there is a proportional relationship between $p$ and $t$. This relationship can be written as $\frac{p}{t}$. If $p=5,130$ when $t=6,840$, the value of $p$ when $t=5,472$ can be calculated by solving the equation $\frac{5,130}{6,840}=\frac{p}{5,472}$. Multiplying each side of this equation by $5,472$ yields $\left(5,472\right)\frac{5,130}{6,840}=\frac{p}{5,472}\left(5,472\right)$, or $p=4,104$. Therefore, when $t=5,472$, the value of $p$ is $4,104$.