Question

do not use the calculator for this question.

which expression could be used to find the distance between points p and q?

a: -25 + |30|
b: (-25) + 30
c: |-25 + 30|
d: |-25 - 30|

Explanation:

🆕 New Concept Discovered: Distance on a Number Line
Distance is the absolute value of the difference.

Step 1: Identify the coordinates of points P and Q

Looking at the number line:

• Point \( P \) lies halfway between \(-30\) and \(-20\), which is at \(-25\).
• Point \( Q \) lies directly on \( 30 \).

Step 2: Apply the distance formula on a number line

The distance between any two points \( a \) and \( b \) on a number line is given by the absolute value of their difference:

$$ \text{Distance} = |a - b| $$

Substituting \( a = -25 \) and \( b = 30 \):

$$ |-25 - 30| $$

Answer:

D (which corresponds to \( |-25 - 30| \))