When you're looking for a graph that models a hot air balloon's altitude over time, you would typically expect to see a graph that demonstrates a steady increase in altitude. Here are some characteristics to keep in mind when identifying an appropriate graph:
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Linear Increase: If the hot air balloon is ascending at a constant rate, the graph should be a straight line that slopes upward to the right, starting from the ground level (0 miles) and rising to 3 miles after 45 minutes.
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Time on the x-axis: The horizontal axis (x-axis) should represent time, measured in minutes.
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Altitude on the y-axis: The vertical axis (y-axis) should represent altitude, measured in miles.
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End Point: At 45 minutes, the graph should reach the point (45, 3), indicating that the balloon is 3 miles above ground.
If the balloon's ascent is not at a constant rate, you might see a curve that gradually increases over time, but without additional details on how the ascent changes, the simplest assumption is a linear increase.
Ensure to exclude any graphs that depict sharp increases or decreases (like jumps or dips) or any oscillations in altitude unless there's context suggesting the balloon is fluctuating in height.