Use the image to answer the question.

A line with an arrow at the top is plotted in quadrant 1 of a coordinate plane. The x-axis is labeled Time in Minutes, and the y-axis is labeled Height in feet left parenthesis per hundred right parenthesis.

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 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.

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.
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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To interpret the slope of the graph, we need to understand what the axes represent and how the values change. The x-axis represents time in minutes, and the y-axis represents height in feet per hundred.

A rising line indicates a steady increase in height over time. If the line rises and reaches a certain height over a specific period, the slope can be calculated by looking at the rise (change in height) divided by the run (change in time).

Based on the options provided:

- "For every four minutes that pass, the balloon rises 400 feet" suggests that over four minutes, there is a 400 feet increase.
- "For every four minutes that pass, the balloon rises 200 feet" suggests a different increase (200 feet over four minutes).
- "For every 2 minutes, the balloon rises 400 feet" suggests a larger rate of ascent.
- "The balloon will be at 200 feet when it is launched" is a statement about its initial height.

To determine the correct answer, you typically need a specific value indicating how much height changes over a given time period from the graph. Without the specific numbers from the image or details about the rate at which height changes, you would check the graph to see the changes in height against the changes in time.

If we assume from your query that the overall ascent mentioned is the right interpretation, you would select based on the numbers that clearly match the slope calculated from the graph itself.

Without the actual numbers visible, if you have confirmed that the slope shows that the balloon rises 100 feet per minute (which could correspond to other options provided), then it might reflect that in 4 minutes, it reaches a considerable height, affirming one of the options regarding height in relation to time.

Based on the options clearly outlined, one such as "For every four minutes that pass, the balloon rises 400 feet" could suggest a slope of 100 feet per minute, if that is indicated in the graph.

So, the necessary interpretation is to select based on the visible relations on the graph regarding how much it rises per specific time unit. If this was accurately interpreted in numbers from your prompt based on the directions and rising trajectory shown.

***Please check the graph slope values directly or provide those specifics for a more tailored response.***