High School

Vanessa is making a sauce for a chicken dish. The list below shows the amount of each ingredient she needs to make 4 servings of the sauce:

- 2 tablespoons of black pepper
- 1 cup of peanut butter
- 3 tablespoons of vinegar
- 2 tablespoons of soy sauce
- 1 cup of water

Based on this information, which statement is true?

Option 1: For 16 servings, she would need to use 12 tablespoons of vinegar.
Option 2: For 20 servings, she would need to use 7 tablespoons of soy sauce.
Option 3: For 2 servings, she would need to use 4 tablespoons of black pepper.
Option 4: For 12 servings, she would need to use 9 cups of peanut butter.

Answer :

Final answer:

The question requires understanding proportions. By scaling the recipe's ingredient quantities based on the number of servings, you can determine the right quantity needed. Option 1 is true when this logic is applied. So, Option 1 is true.

Explanation:

The question is dealing with the concept of proportions. If Vanessa's recipe for 4 servings calls for 2 tablespoons of black pepper, 1 cup of peanut butter, 3 tablespoons of vinegar, 2 tablespoons of soy sauce and 1 cup of water, you will have to multiply by the scale factor (the number of servings) to get the right quantity of ingredients needed for more servings.

Option 1: For 16 servings, the scale factor will be 4 (since 16 divided by 4 is 4). Taking the recipe's vinegar quotient, which is 3 tablespoons for 4 servings, and multiplying it by the scale factor, we get 12 tablespoons of vinegar required for 16 servings.

Option 2, 3, and 4 are not true based on the reasoning explained for option 1 applying the same logic.

Learn more about Proportions here:

https://brainly.com/question/31548894

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