Which statements best describe the pattern shown in the table?

Number of Chickens
Number of
Eggs
1
12
2
24

36

48
5
60
Select all that apply.
(1 point)
The number of eggs is 12
• times the number of chickens.
The number of chickens is
• 12 less than the number of eggs.
Each chicken lays 12 eggs.
• The number of eggs is odd.

1 answer

To determine which statements best describe the pattern shown in the table, let's analyze the information given.

From the table:

  • When there is 1 chicken, there are 12 eggs.
  • When there are 2 chickens, there are 24 eggs.
  • When there are 3 chickens, there are 36 eggs.
  • When there are 4 chickens, there are 48 eggs.
  • When there are 5 chickens, there are 60 eggs.

Now, let's evaluate each statement:

  1. The number of eggs is 12 times the number of chickens.
    This statement is incorrect. The number of eggs is 12 times the number of chickens (i.e., when 1 chicken lays 12 eggs, 2 chickens lay 24 eggs, etc.), but this is not true in the strict interpretation as multiplication. The actual relationship is: Number of eggs = 12 × Number of chickens.

  2. The number of chickens is 12 less than the number of eggs.
    This statement is incorrect. For example, when there are 1 chicken (12 eggs), the difference is 11, not 12.

  3. Each chicken lays 12 eggs.
    This statement is correct. Based on the data, each chicken lays 12 eggs since the number of eggs increases by 12 for each additional chicken.

  4. The number of eggs is odd.
    This statement is incorrect. All numbers of eggs provided in the table (12, 24, 36, 48, 60) are even.

Based on this analysis, the correct statement is:

  • Each chicken lays 12 eggs.

So the answer is:

  • Each chicken lays 12 eggs.