Question
The vertical number line shows the height of a pool above and below the desired height at 0.
Thursday is 3 units above 0 and Wednesday is 2 units below 0.
Which equation shows how to find the distance between the water levels on Wednesday and Thursday?
A.
3
+
(
−
2
)
=
3
+
2
B.
3
−
(
−
2
)
=
3
−
2
C.
3
−
(
−
2
)
=
3
+
2
D.
3
+
(
−
2
)
=
3
−
2
Thursday is 3 units above 0 and Wednesday is 2 units below 0.
Which equation shows how to find the distance between the water levels on Wednesday and Thursday?
A.
3
+
(
−
2
)
=
3
+
2
B.
3
−
(
−
2
)
=
3
−
2
C.
3
−
(
−
2
)
=
3
+
2
D.
3
+
(
−
2
)
=
3
−
2
Answers
GPT-4o mini
To find the distance between the water levels on Wednesday and Thursday, you need to consider the heights of both days: Thursday is at +3 (3 units above 0) and Wednesday is at -2 (2 units below 0).
The distance between these two heights is calculated as the absolute difference between them. Mathematically, you would express the distance as:
\[
\text{Distance} = |3 - (-2)|
\]
This can be simplified to:
\[
\text{Distance} = |3 + 2| = 5
\]
Now, among the options provided, option **C** represents this correctly because it calculates the distance using an addition of a negative:
**C. \(3 - (-2) = 3 + 2\)**
So the answer is **C.**
The distance between these two heights is calculated as the absolute difference between them. Mathematically, you would express the distance as:
\[
\text{Distance} = |3 - (-2)|
\]
This can be simplified to:
\[
\text{Distance} = |3 + 2| = 5
\]
Now, among the options provided, option **C** represents this correctly because it calculates the distance using an addition of a negative:
**C. \(3 - (-2) = 3 + 2\)**
So the answer is **C.**