Multiple Choice Question

Question

Consider the list of numbers in the table below.

The value of A is absolute value of 4, the value of B is negative 1, the value of C is absolute value of negative 6, and value of D is 3.

Which number line correctly represents all the values given in the table?

A.
The number line shows numbers from -7 to 7. The point B is at 1, the point D is at 3, the point A is 4, and the point C is at 6.

B.
The number line shows numbers from -7 to 7. The point C is at -6, the point B is at -1, the point D is 3, and the point A is at 4.

C.
The number line shows numbers from -7 to 7. The point A is at -4, the point B is at -1, the point D is 3, and the point C is at 6.

D.
The number line shows numbers from -7 to 7. The point B is at -1, the point D is at 3, the point A is 4, and the point C is at 6.

Answer 1

To evaluate the values of A, B, C, and D based on the provided information:

• The value of A is the absolute value of 4, which is \( |4| = 4 \).
• The value of B is given as negative 1, so \( B = -1 \).
• The value of C is the absolute value of negative 6, which is \( |-6| = 6 \).
• The value of D is given as 3, so \( D = 3 \).

So, the values are:

• A = 4
• B = -1
• C = 6
• D = 3

Now, let's analyze each option:

A. In this option:

• \( B = 1 \) (incorrect, should be -1)
• \( D = 3 \) (correct)
• \( A = 4 \) (correct)
• \( C = 6 \) (correct)

B. In this option:

• \( C = -6 \) (incorrect, should be 6)
• \( B = -1 \) (correct)
• \( D = 3 \) (correct)
• \( A = 4 \) (correct)

C. In this option:

• \( A = -4 \) (incorrect, should be 4)
• \( B = -1 \) (correct)
• \( D = 3 \) (correct)
• \( C = 6 \) (correct)

D. In this option:

• \( B = -1 \) (correct)
• \( D = 3 \) (correct)
• \( A = 4 \) (correct)
• \( C = 6 \) (correct)

Now we need to confirm which option correctly represents all values:

Option D has \( B = -1 \), \( D = 3 \), \( A = 4 \), and \( C = 6 \), matching all the correct values described.

Thus, the correct answer is:

D. The number line shows numbers from -7 to 7. The point B is at -1, the point D is at 3, the point A is 4, and the point C is at 6.