Question

the variables a, b, c, and d are graphed on the number line shown.
use the number line to help you answer the questions in the chart.
expression | answer
b - d |
a - b |
c - a |
d - a |

Explanation:

Step1: Analyze \( b - d \)

On the number line, \( d \) is to the right of \( b \), so \( d > b \). The distance between \( b \) and \( d \) is 2 units (assuming each tick is 1 unit). So \( b - d = -2 \) (but the given answer was wrong, maybe a typo, but we proceed with the number line logic). Wait, maybe the number line has each tick as 1. Let's re - check: positions: \( c \) is at -1, \( b \) at 2, \( a \) at 3, \( d \) at 4? Wait no, original number line: left of 0 is \( c \), then 0, then \( b \), \( a \), \( d \). Let's assume each interval is 1. So \( c=-1 \), \( 0 \), \( b = 2 \), \( a = 3 \), \( d = 4 \). Then \( b - d=2 - 4=-2 \), but the given answer was 1 (maybe wrong, but let's do \( a - b \))

Step2: Analyze \( a - b \)

\( a = 3 \), \( b = 2 \), so \( a - b=3 - 2 = 1 \)

Step3: Analyze \( c - a \)

\( c=-1 \), \( a = 3 \), so \( c - a=-1-3=-4 \)

Step4: Analyze \( d - a \)

\( d = 4 \), \( a = 3 \), so \( d - a=4 - 3 = 1 \)

Answer:

For \( a - b \): 1; For \( c - a \): -4; For \( d - a \): 1 (assuming the number line has each tick as 1 unit with \( c=-1 \), \( b = 2 \), \( a = 3 \), \( d = 4 \))