Final answer:
Option A. To find out how many servings 45 teaspoons of oil makes, we divide 45 by the amount of oil per serving (9), which equals 5 servings. Multiplying 5 servings by the amount of vinegar per serving (6) gives us 30 teaspoons of vinegar.
Step-by-step explanation:
The student's question asks how many teaspoons of vinegar should be used if 45 teaspoons of vegetable oil were used, given that each serving of a salad requires 9 teaspoons of vegetable oil and 6 teaspoons of vinegar. To find the answer, we need to maintain the proportion between the oil and vinegar.
For every serving, we use 9 teaspoons of vegetable oil and 6 teaspoons of vinegar. To find out how many servings 45 teaspoons of oil makes, we divide the total amount of oil by the amount of oil per serving:
45 teaspoons of oil ÷ 9 teaspoons of oil per serving = 5 servings
Next, we multiply the number of servings by the amount of vinegar per serving to find the total amount of vinegar needed:
5 servings × 6 teaspoons of vinegar per serving = 30 teaspoons of vinegar
Therefore, the answer is A) 30 teaspoons of vinegar.