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.
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The values on the x-axis range from 0 to 24 in increments of 4. The values on the y-axis range from 0 to 14 in increments of 2. The line begins at the origin and slopes upward from left to right, passing through the following: left parenthesis 2 comma 1 right parenthesis, left parenthesis 14 comma 7 right parenthesis, and left parenthesis 24 comma 12 right parenthesis. All values are approximate.


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.

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

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.

Answer 1

Slope = (7 - 1)/(14 - 2) = 6/12 = 0.5 (hundreds of feet per minute) = 50 ft/min. So in 4 minutes it rises 4·50 = 200 feet.

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