A hot air balloon rose from ground level to 1000 feet in order to pass over a mountain. The balloon then descended 800 feet to a cruising height.

Question

A number line going from negative 1000 to positive 1000 in increments of 100. The line has points negative 1000, blank, A, blank, blank, negative 500, blank, blank, B, blank, 0, blank, C, blank, blank, 500, blank, blank, D, blank, 1000.

Which point is a representation of cruising height in feet?
Point A
Point B
Point C
Point D

Answer 1

To find the cruising height of the hot air balloon, we start from ground level (0 feet) and follow the changes in altitude:

1. The balloon rises to 1000 feet.
2. Then it descends 800 feet.

To calculate the cruising height after the descent:

\[ 1000 \text{ feet} - 800 \text{ feet} = 200 \text{ feet} \]

Now we need to locate 200 feet on the number line provided:

• The line goes from -1000 to 1000 in increments of 100.
• The relevant points would be: -1000, -500, 0, 500, and 1000.

We have:

• \( C \) is at 0 (ground level),
• \( D \) is at 500,

Thus, point \( C \) is the representation of 0 feet, and point \( D \) is the representation of 500 feet.

Since we need to find 200 feet, it falls between 0 (C) and 500 (D). Therefore, the correct representation of cruising height (200 feet) corresponds to Point B, which would be placed between 0 and 500 feet.

So, the correct answer is:

Point B.