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Question
the elevation e (in feet) of a hot air balloon and its time t (in minutes) are related by a linear equation. consider the graph of this equation, with time represented on the horizontal axis and elevation on the vertical axis. now take a look at this scenario. is the slope positive, zero, or negative? the hot air balloon is cruising at an elevation of 2,500 feet above sea level. the slope is dropdown .
A linear relationship between elevation $e$ and time $t$ has a slope representing the rate of change of elevation over time. When the balloon cruises at a constant 2,500 feet, elevation does not change as time increases. A zero slope means no change in the vertical variable (elevation) as the horizontal variable (time) changes.
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