SAT Question da9ffcf6: Ratios Rates Proportional Relationships And Units answer and explanation with Desmos solution

Choice A is correct. It's given that the ratio of the length of line segment $XY$ to the length of line segment $ZV$ is $6$ to $1$, which means $\frac{XY}{ZV}=\frac{6}{1}$. It's given that the length of line segment $XY$ is $102$ inches. If the length, in inches, of line segment $ZV$ is represented by $l$, the value of $l$ can be calculated by solving the equation $\frac{102}{l}=\frac{6}{1}$, or $\frac{102}{l}=6$. Multiplying each side of this equation by $l$ yields $102=6l$. Dividing each side of this equation by $6$ yields $17=l$. Therefore, the length of line segment $ZV$ is $17$ inches.