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 dose she need? round your answer to the nearest hundredth.

Since the amount of popcorn kernels used is not the same as the recipe, the proportion can be used to find the amount of butter needed.

Let x be the amount of butter needed.
Using proportions, we can set up the equation:
3 tablespoons / 1/2 cup = 10 tablespoons / x

Cross multiplying the proportion:
3x = 10 * 1/2
3x = 5

Dividing both sides by 3 to solve for x:
x = 5/3

Therefore, Jennie needs approximately 1.67 cups of butter rounded to the nearest hundredth.