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.
The table has been set up correctly because all ratios in the table simplify to Start Fraction 1 over 6 End Fraction .
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The table is set up correctly because all the ratios in the table can be simplified to \(\frac{1}{12}\).

The table is set up correctly because all the ratios in the table can be simplified to 1/12.

The correct response is: The table is set up correctly because all the ratios in the table can be simplified to 1/12.

To determine if the ratio table is set up correctly, we need to check if all the ratios in the table can be simplified to a common ratio. In this case, the given table shows the number of eggs in different cartons.

To check if the ratios can be simplified to a common ratio, we can divide the number of eggs by the number of cartons for each row in the table.

For example, in the first row, there is 12 eggs in 1 carton. When we divide 12 by 1, we get 12/1 = 12.

Similarly, if we divide the number of eggs by the number of cartons in each row, we get:

Second row: 24/2 = 12
Third row: 36/3 = 12
Fourth row: 48/4 = 12
Fifth row: 60/5 = 12

Since all the ratios simplify to 12, which is the same as 1/12, we can conclude that the table is set up correctly.