# Hot Air Balloon

### Ashley R. and Courtney A. 1st

## 1.

The function that relates to this situation is f(x)=800-20x when x is the number of minutes.

## 2. Table This is a picture of the table, when the balloon was 5min before sighted to ten minutes after sighted. We couldn't fit the whole table into this picture but when the balloon landed the time since spotted was 40 minutes. | ## 2. Graph This is a picture of the graph for the rate the first balloon went down. The Y axis represents the height the balloon is at. The X axis shows the time (every minute). | ## 3. The balloon was at 900 feet 5 minutes before sighted. This is because 5 minutes before it was sighted it was still descending at the constant rate of 20 feet per minute. In the graph you can see that when ever the time sighted is -5min , the balloons altitude is 900ft. |

## 2. Table

This is a picture of the table, when the balloon was 5min before sighted to ten minutes after sighted. We couldn't fit the whole table into this picture but when the balloon landed the time since spotted was 40 minutes.

## 2. Graph

This is a picture of the graph for the rate the first balloon went down. The Y axis represents the height the balloon is at. The X axis shows the time (every minute).

## 4.a When the balloon is at 20 ft the time passed since sighted is 39 minutes. The reason for this is because every minute is 20 ft descended and when you are 20 ft off the ground you have one minute till you land so it takes you 39 minutes. | ## 4.b It takes 40 min for the balloon to land. The graph shows this above. The X axis on the graph is the time for the balloon to land in minutes, and the Y axis shows the height of the balloon from the ground. | ## 5. The function that relates to this situation is f(x)=1200-20x when x is number of minutes. The 2nd balloon compared to the first balloon takes 20 min longer to land because it was 400 feet higher than the first balloon. The x axis on the graph above is time(min), the y axis is the altitude(ft) the balloon is at. The descents compare by descending at the same constant rate of 20 ft per min. The lines will never touch though because balloon 2 started descending higher up. |

## 4.a

When the balloon is at 20 ft the time passed since sighted is 39 minutes. The reason for this is because every minute is 20 ft descended and when you are 20 ft off the ground you have one minute till you land so it takes you 39 minutes.

## 4.b

It takes 40 min for the balloon to land. The graph shows this above. The X axis on the graph is the time for the balloon to land in minutes, and the Y axis shows the height of the balloon from the ground.

## 5.

The function that relates to this situation is f(x)=1200-20x when x is number of minutes. The 2nd balloon compared to the first balloon takes 20 min longer to land because it was 400 feet higher than the first balloon. The x axis on the graph above is time(min), the y axis is the altitude(ft) the balloon is at. The descents compare by descending at the same constant rate of 20 ft per min. The lines will never touch though because balloon 2 started descending higher up.

## 6. The function that relates to this situation is f(x)=800-30x when x is minutes. The x axis is time(min), and the y axis is altitude. It takes about 14 minutes less because it is going down at a faster constant rate. The balloons are going each at a constant rate, the 3rd balloon is going at a faster constant rate of f(x)=800-30x. | ## 7. The function that relates to the increasing line is f(x)=30x. | ## 7. The first balloon (blue line) and the forth balloon (red line) will be at the same altitude at 16 minute after sighted at the altitude of 480ft. On the graph the intersection shows that there altitude and minutes after sighted are the same. |

## 6.

The function that relates to this situation is f(x)=800-30x when x is minutes. The x axis is time(min), and the y axis is altitude. It takes about 14 minutes less because it is going down at a faster constant rate. The balloons are going each at a constant rate, the 3rd balloon is going at a faster constant rate of f(x)=800-30x.