# Hot-Air Balloon Project

### By Kennedy, Katie, and Alaina

## 1

y=800-20x

## 4 It takes the balloon 40 minutes to land, because when the y is 0, the x is 40.
| | ## 4 It takes the balloon 39 minutes to reach an altitude of 20 feet. You can tell because when the y is at 20 feet, the x is 39. |

## 5

1200-20x. It takes 20 minutes longer, because they are descending at the same rate of 20 feet per minute, and the 2nd balloon is 400 feet higher to start, which translates to 20 minutes longer. Their descent paths are at the same steepness on the graph, because they have the same rate of change. The second one just starts at a higher height so it takes a little longer. The lines are parallel, and the both have a slope of -20.

## 6

800-30x. It takes the third balloon 26 and two thirds of a minutes, which is 13 and a third minutes shorter than the first balloon. The third finishes before the first. Because the third balloon descends 150% faster than the first, its line is much steeper. The first ballon's slope is -20, and the third's is -30, which is a relatively large difference.

## 7

30x. 1st and 4th are together at 16 minutes, 480 feet up in the air. Where the two lines intersect is where the two balloons meet. The fourth balloon's line goes up because its height does, while the other's goes down just as the balloon does. They meet at 16 minutes, and 480 feet, just like the labeled point says.