Final answer:
Using the distributive property, Jason needs 4 cups of peanut butter, 2 cups of sugar, and 8 eggs to bake 4 batches of peanut butter cookies.
Step-by-step explanation:
Jason wants to bake 4 batches of peanut butter cookies. To determine how much of each ingredient he needs, we will use the distributive property. Given that each recipe requires 1 cup of peanut butter, 1/2 cup of sugar, and 2 eggs, we multiply each quantity by 4 because he wants to make 4 batches.
For the peanut butter: 1 cup per batch × 4 batches = 4 cups of peanut butter
For the sugar: 1/2 cup per batch × 4 batches = 2 cups of sugar
For the eggs: 2 eggs per batch × 4 batches = 8 eggs
Therefore, Jason will need 4 cups of peanut butter, 2 cups of sugar, and 8 eggs to bake 4 batches of cookies.