Use the image to answer the question.
A horizontal axis is shown ranging from negative 20 to 20 in increments of one. Negative 20 is marked with a point labeled A, negative 10 is marked with a point labeled B, 0 is marked with a point labeled C, and 10 marked with a point labeled D.
If you owe your friend $10 and you pay them back $10, which points on the number line show how your amount of money changed?
(1 point)
Responses
from C to B
from C to B
from B to A
from B to A
from B to C
from B to C
from D to C
To answer this question, we need to consider the direction of change in your amount of money.
According to the information given, negative numbers represent owing money, and positive numbers represent having money.
Now, let's analyze the situation:
You owe your friend $10, which is a negative value. This means that you start at point C on the number line, which represents the value 0.
When you pay back your friend $10, you are decreasing your debt, which means your amount of money is increasing. To indicate this change on the number line, you need to move in the positive direction.
Among the given options:
- Moving from B to C represents a decrease in your amount of money, which is not correct.
- Moving from C to B represents moving in the negative direction, indicating that you owe even more money, which is not the case either.
- Moving from B to A represents the correct direction of change, as A is a point to the left of B, indicating that you are decreasing your debt.
Therefore, the correct answer is: from B to A.