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------------------------------------------------ A recipe for Dijon Chicken designed to serve 6 calls for [tex]\frac{3}{4}[/tex] of a tablespoon of brown sugar. Which of the following is the amount of brown sugar needed to make the recipe to serve 22 guests?

A. 2 1/2 tablespoons
B. 3 tablespoons
C. 2 3/4 tablespoons
D. 1 3/4 tablespoons

To scale a recipe from 6 to 22 servings, multiply the original amount of brown sugar (3/4 tablespoon) by the ratio of new to original servings (22/6). The calculation results in 2 3/4 tablespoons.Therefore, the answer is option c, 2 3/4 tablespoons.

The question involves determining the amount of brown sugar needed to scale up a recipe designed to serve 6 people so that it can serve 22 people instead. The original recipe calls for 3/4 tablespoon of brown sugar. To find the amount required for 22 people, first calculate the ratio of guests (22) to the original number of servings (6), which gives us 22/6. Next, multiply this ratio by the original amount of brown sugar (3/4 tablespoon), resulting in (22/6) * (3/4 tablespoon).

Performing the calculation gives us the following:
(22 * 3) / (6 * 4) = 66 / 24 = 2 3/4 tablespoons of brown sugar.

Therefore, the answer is option c, 2 3/4 tablespoons.