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 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 .

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.
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Answer 1

To determine whether the ratio table has been set up correctly, we need to analyze the given information.

The table provided is:

```
Cartons 1 2 3 4 5
Eggs 12 24 36 48 60
```

We know that each carton contains 12 eggs. Therefore, we can calculate the number of eggs for each number of cartons:

- For 1 carton: \(1 \times 12 = 12\)
- For 2 cartons: \(2 \times 12 = 24\)
- For 3 cartons: \(3 \times 12 = 36\)
- For 4 cartons: \(4 \times 12 = 48\)
- For 5 cartons: \(5 \times 12 = 60\)

All the values in the table are correct, as they correspond to the number of eggs based on the number of cartons.

Now, let's check the ratios:

The ratio of eggs to cartons can be expressed as:

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

Since every ratio simplifies to \( \frac{12}{1} \), the table is set up correctly, and we can conclude that:

**The table has been set up correctly because all ratios in the table simplify to \( \frac{12}{1} \).**