Use the table to answer the question.

Cartons 1 2 3 4 5
Eggs 12 24 36 48 60
There are 12 eggs in a carton of eggs. A ratio table has been created to determine how many eggs there are in 5 cartons. Is this ratio table set up correctly?

(1 point)
Responses

The table is set up correctly because all the ratios in the table can be simplified to 112.
The table is set up correctly because all the ratios in the table can be simplified to Start Fraction 1 over 12 End Fraction .

The table has been set up correctly because the first and last ratios are equivalent.
The table has been set up correctly because the first and last ratios are equivalent.

The table is set up correctly because at least two ratios in the table can be simplified to 112.
The table is set up correctly because at least two ratios in the table can be simplified to Start Fraction 1 over 12 End Fraction .

The table has been set up correctly because all ratios in the table simplify to 16.

1 answer

To determine if the ratio table is set up correctly, let's analyze the given information. The table shows the number of eggs corresponding to the number of cartons:

  • For 1 carton: 12 eggs
  • For 2 cartons: 24 eggs
  • For 3 cartons: 36 eggs
  • For 4 cartons: 48 eggs
  • For 5 cartons: 60 eggs

Now, let's consider the ratio of cartons to eggs:

  • For 1 carton: \( \frac{1}{12} \)
  • For 2 cartons: \( \frac{2}{24} = \frac{1}{12} \)
  • For 3 cartons: \( \frac{3}{36} = \frac{1}{12} \)
  • For 4 cartons: \( \frac{4}{48} = \frac{1}{12} \)
  • For 5 cartons: \( \frac{5}{60} = \frac{1}{12} \)

All these ratios can be simplified to \( \frac{1}{12} \).

Thus, the correct response is:

The table is set up correctly because all the ratios in the table can be simplified to \( \frac{1}{12} \).