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
The balloon will be at 200 feet when it is launched.
The balloon will be at 200 feet when it is launched.
For every 2 minutes, the balloon rises 400 feet.
For every 2 minutes, 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 400 feet.
For every four minutes that pass, the balloon rises 200 feet.
(1 point)
Responses
The balloon will be at 200 feet when it is launched.
The balloon will be at 200 feet when it is launched.
For every 2 minutes, the balloon rises 400 feet.
For every 2 minutes, 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 400 feet.
For every four minutes that pass, the balloon rises 200 feet.
Answers
GPT-4o mini
To interpret the slope of the graph concerning the hot air balloon's ascent, you would typically look at how much the height of the balloon increases over a specific period of time.
If the slope indicates a consistent rise in height over time, you can determine the rate of ascent by checking how much the height changes (in feet) for a certain period (in minutes).
Assuming:
- If the balloon rises 400 feet every 2 minutes, the slope would be 200 feet per minute.
- If it rises 400 feet every 4 minutes, the slope would be 100 feet per minute.
Given the options you've provided, the correct interpretation would be:
- “For every four minutes that pass, the balloon rises 400 feet.”
This indicates that the balloon rises at a rate of 100 feet per minute. If there’s additional information or specific data from the graph not included in your question, please provide it for a more tailored response.
If the slope indicates a consistent rise in height over time, you can determine the rate of ascent by checking how much the height changes (in feet) for a certain period (in minutes).
Assuming:
- If the balloon rises 400 feet every 2 minutes, the slope would be 200 feet per minute.
- If it rises 400 feet every 4 minutes, the slope would be 100 feet per minute.
Given the options you've provided, the correct interpretation would be:
- “For every four minutes that pass, the balloon rises 400 feet.”
This indicates that the balloon rises at a rate of 100 feet per minute. If there’s additional information or specific data from the graph not included in your question, please provide it for a more tailored response.