Jennie is making popcorn. The recipe calls for 1/2

To find out how much butter Jennie needs when using 10 tablespoons of kernels, we can set up a proportion based on the original recipe.

The original recipe calls for:

• \( \frac{1}{2} \) cup of butter
• 3 tablespoons of kernels

Now, let’s express \( \frac{1}{2} \) cup of butter in tablespoons, since there are 16 tablespoons in a cup:

\[ \frac{1}{2} \text{ cup} = \frac{1}{2} \times 16 \text{ tablespoons} = 8 \text{ tablespoons} \]

Now, we have the following proportions:

• 8 tablespoons of butter for 3 tablespoons of kernels.

To find out how much butter is needed for 10 tablespoons of kernels, we can set up the proportion:

\[ \frac{8 \text{ tablespoons of butter}}{3 \text{ tablespoons of kernels}} = \frac{x \text{ tablespoons of butter}}{10 \text{ tablespoons of kernels}} \]

Now we can cross-multiply to solve for \( x \):

\[ 8 \times 10 = 3 \times x \]

This simplifies to:

\[ 80 = 3x \]

Now, divide both sides by 3 to isolate \( x \):

\[ x = \frac{80}{3} \approx 26.67 \text{ tablespoons of butter} \]

Now we convert this back to cups (since there are 16 tablespoons in a cup):

\[ \frac{26.67}{16} \approx 1.67 \text{ cups of butter} \]

Thus, if Jennie uses 10 tablespoons of kernels, she will need approximately 1.67 cups of butter.

So the correct response is:

1.67