Question

c. is the captain above or below water? what integer represents his elevation?
d. is the fishing net above or below the water? what integer represents its elevation?
e. does absolute value represent a location or a distance? how do you show this on a number line?
f. what absolute value expression represents the length of rope above the water?
g. what absolute value expression represents the length of rope below the water?
h. write an inequality to compare the elevations of the captain and the fishing net.
i. write an inequality to compare the length of the rope out of the water and the length of the rope in the water.
j. the captain lowers the rope further into the water. describe what happens to the elevation of the fishing net and to the length of the rope under the water.

Explanation:

Since the problem is incomplete (no initial information about the captain's and fishing net's elevations, rope lengths, etc.), we can't solve it directly. But here's how we'd approach a sub - question like (e) with the general concept:

For sub - question (e)

Absolute value represents a distance. On a number line, the absolute value of a number \(a\) (denoted as \(|a|\)) is the distance between \(a\) and \(0\). For example, \(|3|\) and \(|- 3|\) both equal \(3\), which is the distance of \(3\) and \(-3\) from \(0\) on the number line.

Answer:

Absolute value represents a distance. On a number line, the absolute value of a number is the distance from that number to \(0\). For a number \(x\), \(|x|\) is the distance between \(x\) and \(0\) on the number line.

If you can provide the missing information (like the elevation of the captain, elevation of the fishing net, lengths of the rope above and below water), we can solve the other sub - questions as well.