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 four minutes that pass, the balloon rises 400 feet.
For every four minutes that pass, the balloon rises 400 feet.
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 200 feet.
For every four minutes that pass, the balloon rises 200 feet.
The balloon will be at 200 feet when it is launched.

Answer 1

To interpret the slope of the graph, we need to understand that the slope represents the rate of change in height with respect to time.

If the slope of the graph shows that for every 2 minutes, the balloon rises 400 feet, then that would indicate the balloon ascends at a rate of 200 feet per minute (since 400 feet divided by 2 minutes equals 200 feet per minute).

However, if the slope shows that for every 4 minutes the balloon rises 400 feet, this means the balloon is rising at a rate of 100 feet per minute (400 feet divided by 4 minutes).

Based on the options you've provided, the correct interpretation would be:

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

This indicates a rate of 100 feet per minute. If you have more specific data from the graph that indicates rises for different time intervals, please provide that for a more precise answer.