Final answer:
Upon spending $10 out of $20, the representative point on a horizontal number line would move to the left side of the coordinate system, indicating a decrease in the amount of money remaining.
Step-by-step explanation:
If you begin with $20 and then spend $10, the point representing the money you have remaining would move on a horizontal number line in the direction that represents a decrease in value. On a standard number line where increases in value move to the right, a decrease would move to the left. Therefore, the correct answer to the question 'which direction would the point representing the money you have remaining move on a horizontal number line' is d. Horizontally to the left side of the coordinate system.
When you start with $20 and spend $10, you are subtracting $10 from $20. This means you are moving to the left on the number line, indicating that you have less money.
So, the answer is a) Left.