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)
O The balloon will be at 200 feet when it is launched.
O For every 2 minutes, the balloon rises 400 feet.
O For every four minutes that pass, the balloon rises 400 feet.
• For every four minutes that pass, the balloon rises 200 feet.
(1 point)
O The balloon will be at 200 feet when it is launched.
O For every 2 minutes, the balloon rises 400 feet.
O 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, we need to understand what the slope represents in this context. The slope of a graph shows how much the vertical quantity (in this case, height in feet) changes for a certain change in the horizontal quantity (in this case, time in minutes).
If the slope indicates that for every four minutes that pass the balloon rises 200 feet, we can express this as:
- Slope = Change in height / Change in time = 200 feet / 4 minutes = 50 feet per minute.
Based on the options provided, the correct interpretation of the slope would be:
**For every four minutes that pass, the balloon rises 200 feet.**
If the slope indicates that for every four minutes that pass the balloon rises 200 feet, we can express this as:
- Slope = Change in height / Change in time = 200 feet / 4 minutes = 50 feet per minute.
Based on the options provided, the correct interpretation of the slope would be:
**For every four minutes that pass, the balloon rises 200 feet.**