To interpret the slope of the graph in the context of the hot air balloon's ascent, we need to understand what the slope represents.
The slope of a line in a graph indicates the rate of change of the vertical variable (height in feet) with respect to the horizontal variable (time in minutes).
If the graph shows a consistent rise, the slope indicates how much the height increases for each unit of time (in this case, minutes).
Since the descriptions in the options provided suggest specific rises in height over certain intervals of time, we can determine the correct statement based on how the balloon is climbing.
The correct response regarding the slope of the graph likely refers to the specific rise in height over a stated period.
Let's analyze the options:
- For every 2 minutes, the balloon rises 400 feet.
- For every 4 minutes, the balloon rises 200 feet.
- For every 4 minutes, the balloon rises 400 feet.
- The balloon will be at 200 feet when it is launched.
Based on typical scenarios, if the balloon is climbing steadily, one of the first three responses is about the rate of ascent, while the last option talking about the launch height doesn’t relate to the slope.
If, for example, the slope is such that the balloon rises 400 feet in 4 minutes, this would mean:
- The third option would be correct: "For every four minutes that pass, the balloon rises 400 feet."
Therefore, assuming a steady ascent and the correct calculation of the slope, the likely correct interpretation of the slope would be:
For every four minutes that pass, the balloon rises 400 feet.
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