Consider the list of numbers in the table below.

Question

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 determine which number line correctly represents the values given in the table, let’s evaluate each variable:

• Value of A: The absolute value of 4 is |4| = 4.
• Value of B: The value is -1.
• Value of C: The absolute value of -6 is |−6| = 6.
• Value of D: The value is 3.

Now, we can summarize the values:

• A = 4
• B = -1
• C = 6
• D = 3

Next, let’s check each option to see which number line correctly places these values:

A:

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

B:

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

C:

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

D:

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

Only option D places all the points correctly on the number line:

• B at -1
• D at 3
• A at 4
• C at 6

Thus, the correct answer is D.