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 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**.