Question

A vertical number line is given. A vertical number line starting at negative 7 with tick marks every one-half unit up to 0. The value negative 4.25 is labeled. The change in the value of a stock was plotted on a number line in the image. If 0 represents the original cost, which of the following is true about the plotted value? The stock is −4.25 greater than the original value, and the absolute value is 4.25. The stock is 4.25 greater than the original value, and the absolute value is 4.25. The stock is −4.25 less than the original value, and the absolute value is 4.25. The stock is 4.25 less than the original value, and the absolute value is 4.25.

Answer 1

Explanation:

The plotted value is labeled as negative 4.25 on the vertical number line. Since the original cost (0) is the reference point, we can analyze the statement "The stock is \(-4.25\) greater than the original value."

This statement is incorrect. The correct interpretation is that "The stock is \(-4.25\) less than the original value." The negative sign indicates a decrease or loss compared to the original value. Therefore, the correct statement is:

"The stock is \(-4.25\) less than the original value, and the absolute value is \(4.25\)."

So, the correct option is:

The stock is \(-4.25\) less than the original value, and the absolute value is \(4.25\).