Question

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)
• For every four minutes that pass, the balloon rises 200 feet.
• The balloon will be at 200 feet when it is launched.
• For every 2 minutes, the balloon rises 400 feet.
• For every four minutes that pass, the balloon rises 400 feet.

Answer 1

Slope = (7 − 1)/(14 − 2) = 6/12 = 0.5 units per minute. Each y‑unit = 100 ft (y = 12 → 1200 ft), so 0.5 units/min = 50 ft/min = 200 ft per 4 minutes.
Correct answer: For every four minutes that pass, the balloon rises 200 feet.