# Hot Air Balloon

### Algebra project by: Riley R, Keilyn M, Noah H.

## Welcome to Hot Air Balloon Express, enjoy the ride!

## 1. Function of the first balloon is f(x)=800-20x

## 2. Table of balloon's altitude every 5 minutes

## A graph of the balloon's altitude.

## 4. At 39 minutes, it's at 20ft and descending. It takes 40 minutes for the balloon to reach the ground.

1st graph: how long the balloon takes to reach 20ft.

2nd graph: how long it takes for the balloon to land.

## 5. The function is f(x)=1200-20x

## It takes 20 more minutes for the 2nd balloon to land than the first. The comparison between the two is that the 1st balloon started its descent earlier and ended earlier. The 2nd balloon started its descent later and ended later. The relationship for both balloons is that each balloon is descending at a constant rate.

1st balloon - Red

2nd balloon - Blue

## 6. The function is f(x)=800-30x

1st balloon - Blue

3rd balloon - Red

## 7. The function is f(x)=30x

## The first and fourth balloon will be at the same altitude at 16 minutes and the altitude is at 480ft.

1st balloon - Blue

4th balloon - Red

## 8. The third balloon would have to start its descent at 1200ft to reach the ground at the same time as the first balloon.

What is the equation of the line?

__f(x)=1200-30x__