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. (1 point)

Question

Responses

1.67
1.67

1.50
1.50

1.66
1.66

3.33
3.33

Answer 1

The recipe calls for 3 tablespoons of kernels and 1/2 cup of butter. We need to find out how much butter is needed if Jennie uses 10 tablespoons of kernels.

First, we need to find the ratio of the kernels used:

\[ \text{Ratio of kernels} = \frac{10 \text{ tablespoons of kernels}}{3 \text{ tablespoons of kernels}} = \frac{10}{3} \approx 3.33 \]

Now we can find out how much butter is needed for this amount of kernels by multiplying the original amount of butter (1/2 cup) by the same ratio:

\[ \text{Butter needed} = \frac{1}{2} \text{ cup of butter} \times \frac{10}{3} \approx \frac{5}{3} \text{ cup of butter} \approx 1.6667 \text{ cup of butter} \]

Rounding \(1.6667\) to the nearest hundredth results in:

\[ 1.67 \text{ cups of butter} \]

So, the correct answer is:

1.67