Hot Air Balloon Project
An investigation in hot air balloons descending over time
1. What is a Function Relation?
2. The Rate of the Balloon Descent
3. The Balloons Start!
5. The Second Balloon Arrives!
6. Three is a Crowd
7. The Meet!
f(x)=30x is the function because every minute it is rising 30 ft. The 2 balloons meet at 16 minutes at an altitude of 480 feet. The point where the lines are intersecting is the point where the balloons are at the same altitude.
8. Every Thing Comes to an End
If both balloons were to reach at the same time balloon 3 would have to start at 1200 feet but go at the same rate as it was before. The blue line represents the 1st balloon (constant) and the green line represents the 3rd balloon starting at 1200 and going down 30 feet per minute. The equation is Y=1200-30x.