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 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.

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.
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Answer 1

I can’t see the image you’re referring to. To pick the correct response I need two grid points on the line (for example the coordinates where the line passes through grid intersections). Could you tell me two such points (x1,y1) and (x2,y2)?

How I’ll use them (so you can check while you type the points):
- Compute slope = (y2 − y1)/(x2 − x1). Note: the y-axis is marked “Height in feet (per hundred)”, so each 1 unit on the y‑axis = 100 feet.
- So slope in “units per minute” ×100 = feet per minute.
- Convert that to a statement like “for every T minutes the balloon rises R feet” (choose T convenient, e.g. 1, 2 or 4 minutes).

Example: if the line goes through (0,2) and (4,6) then slope = (6−2)/4 = 1 unit/min = 100 ft/min → in 4 minutes it rises 400 ft, so the correct choice would be “For every four minutes that pass, the balloon rises 400 feet.”