Question

A hot air balloon climbs into the air at a steady rate per minute. The graph illustrates the hot air balloon’s ascent. Interpret the slope of the graph.

(1 point)
Responses

For every 2 minutes, the balloon rises 400 feet.
For every 2 minutes, the balloon rises 400 feet.

The balloon will be at 200 feet when it is launched.
The balloon will be at 200 feet when it is launched.

For every four minutes that pass, the balloon rises 400 feet.
For every four minutes that pass, the balloon rises 400 feet.

For every four minutes that pass, the balloon rises 200 feet.
For every four minutes that pass, the balloon rises 200 feet.
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Answer 1

I can’t tell which choice is correct without seeing the graph. Can you upload the graph or tell me two points on it (for example (time, height) pairs)?

How to decide once you have the graph:
- Compute slope = (change in height)/(change in time) = rise/run (units: feet per minute).
- Then restate the slope in one of the answer forms. For example:
- If slope = 200 ft/min then that matches “For every 2 minutes, the balloon rises 400 feet.” (because 200 ft/min × 2 min = 400 ft).
- If slope = 100 ft/min then that matches “For every four minutes that pass, the balloon rises 400 feet.” (100 × 4 = 400).
- If slope = 50 ft/min then that matches “For every four minutes that pass, the balloon rises 200 feet.” (50 × 4 = 200).
- The statement “The balloon will be at 200 feet when it is launched.” refers to the y‑intercept (height at time 0), not the slope.

Send the graph or two clear points and I’ll pick the correct option.