Sarah started 3 miles below the rim of the canyon and hiked until she was 8 miles above the rim. Her brother Sam said she hiked 5 miles. Sarah said she hiked 11 miles.
Who is correct and why?
A. Sam is correct because |3 – 8| = 5.
B. Sam is correct because |–3 – 8| = 5.
C. Sarah is correct because |–3 + 8| = 11.
D. Sarah is correct because |–3 – 8| = 11.

A number line is a horizontal line that has numbers in equal intervals.The numbers included on the line can be negative or positive taking zero as a reference point at the center called the origin.

The horizontal straight lines in which the integers are placed in equal intervals increase as we go right.The horizontal straight lines in which the integers are placed in equal intervals decreases as we go left.

A vector is an object that has both a magnitude as wel as direction. direction. It is represented by an arrow (head) and the tail which indicates the direction.The length is proportional to the quantity's magnitude.The resultant vector can be calculated using vector addition, and vector subtraction.Unit vector always has a magnitude of one and tells about the direction

explanation:- using number line concept.

-3 to 0 would be 3 then add 8 = 11 miles.

⇒Sarah started 3 miles below the rim = -3

⇒ initially she was above 8 miles

⇒ total distance first from -3 to 0 and than from o to 8

Therefore total distance = |–3 – 8| = 11.

Hence the answer is option D. Sarah is correct because |–3 – 8| = 11.

Learn more about Number line here:-https://brainly.com/question/25748640

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