Hot-Air Balloon

Answer all questions fully with complete explanations and be prepared to explain to the class!

At the West Texas Balloon Festival, a Red hot-air balloon is sighted at an altitude of 800 feetand appears to be descending at a steady rate of 20 feet per minute. Spectators are wonderinghow the altitude of the balloon is changing as time passes.

1. a = 800 - 20t is a function that represents this situation where a = altitude and t =time (starting when the balloon was sighted) Red Balloon

2. Make a table of values and a graph to show the balloon's altitude every 5 minutesbeginning at 5 minutes before the balloon was sighted until the balloon lands.

3. How long does it take the balloon to reach an altitude of 20 feet? How long does it takethe balloon to land?

4. A second Blue balloon is first sighted at an altitude of 1200 feet and is descending at 20feet per minute. How does the descent and landing time of the second balloon comparewith that of the first balloon? What does this mean graphically?

5. A third Black balloon is first sighted at an altitude of 800 feet but is descending at 30feet per minute. How does the descent and landing time of the third balloon comparewith that of the first balloon? What does this mean graphically?

6. At the instant the first balloon is sighted, a fourth Green balloon is launched from theground rising at a rate of 30 feet per minute. When will the first and fourth balloon beat the same altitude? What is that altitude? What does this mean graphically?

7. Graph all 4 lines on one coordinate plane, be sure to label your axes. Lines need to becolored according to the color of the balloon.

8. Find the domain and range of each line. EXPLAIN the similarities and differences in thedomain and ranges and tell why they are different.

Hot Air Balloon Questions

Name Period Date

1.) Using the graph find the slope of each line. Simplify your answers.

Red Balloon Blue Balloon

Black Balloon Green Balloon

2.) Using the graphs tell where lines of each balloon touch the y-axis

Red Balloon Blue Balloon

Black Balloon Green Balloon

3.) Write the equation for each balloon. In the equations above circle the slopes.Box the y-intercepts.

Red Balloon equation Black Balloon equation

Green Balloon equation Blue Balloon equation

4.) In the equation y = mx + b, what letter would represent the slope? Whatletter would represent the y-intercept?

5.) Write an equation for a purple balloon that is descending at a rate of 50 feetper minute starting at an altitude of 600 feet.

6.) How could you graph the equation without making a table?

7.) If the equation for an orange balloon was y = 35x + 200 describe the graphpertaining to y-intercept and slope without graphing the equation.

8.) Graph the orange and purple balloon without making a table.

Name Date Per

Hot Air Balloon

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