SAT Question 06a152cd: Ratios Rates Proportional Relationships And Units answer and explanation with Desmos solution

Choice B is incorrect. If $10$ pounds of chocolate were needed to make $48$ muffins, then the total number of ounces of chocolate needed would be $10\times 16=160$ ounces. The number of ounces of chocolate per muffin would then be $\frac{160}{48}=3.33$ ounces per muffin, not $2.5$ ounces per muffin.

Choice C is incorrect. Following the same procedures as used to test choice B gives $16.8$ ounces per muffin for choice C, not $2.5$ ounces per muffin. Therefore, $50.5$ pounds cannot be the number of pounds needed to make $48$ signature chocolate muffins.

Choice D is incorrect. Following the same procedures as used to test choice B gives $40$ ounces per muffin for choice D, not $2.5$ ounces per muffin. Therefore, $120$ pounds cannot be the number of pounds needed to make $48$ signature chocolate muffins.