Which statements best describe the pattern shown in the table?

Number of Chickens Number of Eggs
1 12
2 24
3 36
4 48
5 60
Select all that apply.

(1 point)
Responses

The number of eggs is 12 times the number of chickens.

The number of eggs is 12 times the number of chickens.

The number of chickens is 12 less than the number of eggs.

The number of chickens is 12 less than the number of eggs.

Each chicken lays 12 eggs.

Each chicken lays 12 eggs.

The number of eggs is odd.

1 answer

Let's analyze the given table closely to identify the correct statements about the relationship between the number of chickens and the number of eggs.

From the data provided:

  • 1 chicken produces 12 eggs.
  • 2 chickens produce 24 eggs.
  • 3 chickens produce 36 eggs.
  • 4 chickens produce 48 eggs.
  • 5 chickens produce 60 eggs.

Based on this, we can make the following observations:

  1. The number of eggs is directly proportional to the number of chickens; specifically, each chicken produces 12 eggs. This means that if you multiply the number of chickens by 12, you get the number of eggs.

  2. The statement "The number of eggs is 12 times the number of chickens" is accurate. For instance, for 2 chickens, \( 2 \times 12 = 24 \) eggs.

  3. The statement "The number of chickens is 12 less than the number of eggs" is not accurate. For example, 1 chicken (1) and 12 eggs (12) does not mean chickens are 12 less than eggs, as this would imply a mathematical equation that does not hold (12 - 1 = 11, not true).

  4. The statement "Each chicken lays 12 eggs" is correct based on the pattern shown in the table.

  5. The statement "The number of eggs is odd" is incorrect as all values listed represent even numbers.

Therefore, the correct responses based on the analysis are:

  • The number of eggs is 12 times the number of chickens.
  • Each chicken lays 12 eggs.

(Note: The responses appear to have duplicate statements; it's assumed these were not intended to be separate choices).