Jeanie is making popcorn. The recipe calls for a 1/2 a 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, hundredths
If the recipe calls for 3 tablespoons of kernels and she uses 10 tablespoons, then she is using 10/3 = <<10/3=3.33>>3.33 times the amount of kernels required.
The recipe calls for 1/2 a cup of butter, and she is using 3.33 times the amount of kernels required, so she needs 1/2 * 3.33 = <<1/2*3.33=1.665>>1.665 cups of butter.
Since the answer needs to be rounded to the nearest hundredths, then she needs 1.665 rounded to the nearest hundredths = <<1.665=1.67>>1.67 cups of butter. Answer: \boxed{1.67}.