Jennie is making popcorn. The recipe calls for 1/2 cup of butter, 3 tablespoons of kernels, and 1 teaspoon of salt. If she uses 10 tablespoons of kernels, how much butter does she need? Round your answer to the nearest hundredth.

Jennie is making popcorn. The recipe calls for 1/2 cup of butter, 3 tablespoons of kernels, and 1 teaspoon of salt. If she uses 10 tablespoons of kernels, we need to find out how much butter does she need.

Using the given information, we can set up a proportion as follows:

3 tablespoons of kernels / 1/2 cup of butter = 10 tablespoons of kernels / x cups of butter.

Cross-multiplying and solving for x, we have:

3 * x = 10 * 1/2
3 * x = 5
x = 5 / 3

Therefore, Jennie needs approximately 1.67 cups of butter to make popcorn. Rounding to the nearest hundredth, she needs about 1.67 cups of butter. Answer: \boxed{1.67}.