Use the image to answer the question.

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

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

Answer 1

To interpret the slope of the graph, we need to understand how it relates to the change in height of the hot air balloon over time. The slope represents the rate of ascent of the balloon.

Assuming the slope is given as a fraction of the height (in feet per 100 feet) over time (in minutes), if a line is rising steadily, it typically means that for a specific interval of time (e.g., every 2 minutes or every 4 minutes), the height increases by a certain amount.

From your options, the most plausible one seems to be:

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

This reflects a steady ascent over time. However, if there are specific numerical values associated in the graph (which I can't see), the exact wording might vary slightly.