Question

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 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.

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

The balloon will be at 200 feet when it is launched.

Answer 1

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

Reason: The graph rises 2 (hundreds of feet) over 4 minutes, so slope = 2/4 = 0.5 hundreds per minute = 50 feet per minute. Over 4 minutes that is 50 × 4 = 200 feet.