A balloon is released from the top of a building. The graph shows the height of the balloon over time. What does the slope and y-intercept reveal about the situation?
The balloon starts at a height of 500 ft and rises at a rate of 300 ft.
The balloon starts at a height of 500 ft and rises at a rate of 150 ft.
The balloon starts at a height of 0.05 ft and rises at a rate of 150 ft.
In all three scenarios, the slope of the graph represents the rate at which the balloon is rising.
For the first scenario, with a slope of 300 ft, it means the balloon is rising at a faster rate compared to the other two scenarios.
For the second scenario, with a slope of 150 ft, it means the balloon is rising at a moderate rate.
For the third scenario, with a slope of 150 ft, it also means the balloon is rising at a moderate rate.
The y-intercept of the graph represents the initial height of the balloon.
For the first scenario, the initial height is 500 ft.
For the second scenario, the initial height is also 500 ft.
For the third scenario, the initial height is 0.05 ft, which is very low compared to the other two scenarios.