SAT Question 20b69297: Ratios Rates Proportional Relationships And Units answer and explanation with Desmos solution

Choice D is correct. It's given that Anita used a ratio of $2$ ounces of blue paint to $3$ ounces of yellow paint for the first batch. For any batch of paint that uses the same ratio, the amount of yellow paint used will be $\frac{3}{2}$, or $1.5$, times the amount of blue paint used in the batch. Therefore, the amount of yellow paint Anita will use in the second batch will be $1.5$ times the amount of blue paint used in the second batch.

Alternate approach: It's given that Anita used a ratio of $2$ ounces of blue paint to $3$ ounces of yellow paint for the first batch and that she will use $5$ ounces of blue paint for the second batch. A proportion can be set up to solve for $x$, the amount of yellow paint she will use for the second batch: $\frac{2}{3}=\frac{5}{x}$. Multiplying both sides of this equation by $3$ yields $2=\frac{15}{x}$, and multiplying both sides of this equation by $x$ yields $2x=15$. Dividing both sides of this equation by $2$ yields $x=7.5$. Since Anita will use $7.5$ ounces of yellow paint for the second batch, this is $\frac{7.5}{5}=1.5$ times the amount of blue paint ($5$ ounces) used in the second batch.