Final answer:
Jennifer would need 1 1/2 cups of sugar for the original recipe since she uses 3/4 cup for half of the recipe. To find the amount needed for the whole recipe, you double the half-recipe amount.
Step-by-step explanation:
If Jennifer uses 3/4 cup of sugar when she halves the recipe, to find out how much sugar she would need for the original recipe, we need to understand that halving the recipe requires half the ingredients. So, if 3/4 cup is half the amount, then the full amount for the original recipe would be double that. To calculate the full amount, we simply multiply 3/4 by 2:
3/4 cup × 2 = (3 × 2) / 4 = 6/4 = 1 1/2 cups of sugar.
Therefore, Jennifer would need 1 1/2 cups of sugar for the original recipe.
The concept of finding a unit rate isn't directly applicable here as that typically involves a comparison of two different measures (like speed being miles per hour). However, you could consider the recipe's requirement as a unit rate, signifying the amount of sugar per recipe batch. In this case, the unit rate for the original recipe is 1 1/2 cups of sugar per batch.