Final answer:
Tara uses 0.75 teaspoons of vanilla per batch of cookies. To calculate the total vanilla needed for multiple batches, multiply 0.75 teaspoons by the number of batches. This demonstrates how to use proportions to scale recipe ingredients.
Step-by-step explanation:
Tara uses a total of 1.5 teaspoons of vanilla for 2 batches of cookies, which means she uses 0.75 teaspoons of vanilla for each batch. To find out how much vanilla she would use for a different number of batches, you would multiply the number of batches by 0.75 teaspoons.
For example, if Tara wants to prepare 5 batches of cookies, and each batch requires 0.75 teaspoons of vanilla, you would calculate the total amount of vanilla needed as follows:
- Multiply the amount of vanilla per batch by the number of batches: 0.75 teaspoons/batch × 5 batches = 3.75 teaspoons of vanilla.
This math problem involves setting up and solving proportions to understand how the amounts of ingredients scale with the number of batches. Proportions are used in recipes to ensure that each batch of cookies has the correct flavor profile.