To make a quiche, you need 1 tablespoon of butter for every 6 eggs.

Write a ratio that compares these two quantities. Which ratios are equivalent to this ratio? Check all that apply.

A. [tex]\(\frac{12 \text{ eggs }}{2 \text{ tbsp }}\)[/tex]

B. [tex]\(\frac{15 \text{ eggs }}{3 \text{ tbsp }}\)[/tex]

C. [tex]\(\frac{24 \text{ eggs }}{4 \text{ tbsp }}\)[/tex]

D. [tex]\(\frac{9 \text{ eggs }}{1.5 \text{ tbsp }}\)[/tex]

To compare the ratio of eggs to tablespoons of butter in a quiche, we start with the basic ratio given:

1 tablespoon of butter for every 6 eggs.

Now, let's evaluate the provided ratios to see which ones are equivalent to 6 eggs per 1 tablespoon of butter:

1. [tex]\( \frac{12 \text{ eggs }}{2 \text{ tbsp }} \)[/tex]:
- This simplifies to [tex]\( \frac{12}{2} = 6 \)[/tex].
- Therefore, this ratio is equivalent to [tex]\( 6 \text{ eggs per } 1 \text{ tbsp} \)[/tex].

2. [tex]\( \frac{15 \text{ eggs }}{3 \text{ tbsp }} \)[/tex]:
- This simplifies to [tex]\( \frac{15}{3} = 5 \)[/tex].
- This is not equivalent to the original ratio of 6 eggs per 1 tablespoon.

3. [tex]\( \frac{24 \text{ eggs }}{4 \text{ tbsp }} \)[/tex]:
- This simplifies to [tex]\( \frac{24}{4} = 6 \)[/tex].
- Therefore, this ratio is equivalent to the original ratio of 6 eggs per 1 tablespoon.

4. [tex]\( \frac{9 \text{ eggs }}{1.5 \text{ tbsp }} \)[/tex]:
- This simplifies to [tex]\( \frac{9}{1.5} = 6 \)[/tex].
- Therefore, this ratio is equivalent to the original ratio of 6 eggs per 1 tablespoon.

In conclusion, the ratios equivalent to 6 eggs per 1 tablespoon are:
- [tex]\( \frac{12 \text{ eggs }}{2 \text{ tbsp }} \)[/tex]
- [tex]\( \frac{24 \text{ eggs }}{4 \text{ tbsp }} \)[/tex]
- [tex]\( \frac{9 \text{ eggs }}{1.5 \text{ tbsp }} \)[/tex]