What Goes Up Must Come Down Analyzing Linear Functions Problem Set Complete the table to represent each problem situation. 1. A hot air balloon cruisi...
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What Goes Up Must Come Down Analyzing Linear Functions Problem Set Complete the table to represent each problem situation. 1. A hot air balloon cruising at 1000 feet
What Goes Up Must Come Down Analyzing Linear Functions Problem Set Complete the table to represent each problem situation. 1. A hot air balloon cruising at 1000 feet
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Lesson 2.2 Skills Practice
Name
Date
What Goes Up Must Come Down Analyzing Linear Functions
2
Problem Set Complete the table to represent each problem situation. 1. A hot air balloon cruising at 1000 feet begins to ascend. It ascends at a rate of 200 feet per minute.
6. A free-diver is diving from the surface of the water at a rate of 15 feet per minute.
Independent Quantity
2
Dependent Quantity
Quantity Units 0 1 2 245 260 Expression
Identify the input value, the output value, the y-intercept, and the rate of change for each function. 7. A hot air balloon at 130 feet begins to ascend. It ascends at a rate of 160.5 feet per minute. The function f(t) 5 160.5t 1 130 represents the height of the balloon as it ascends. The input value is t, time in minutes. The output value is f(t), height in feet.
8. A backyard pool contains 500 gallons of water. It is filled with additional water at a rate of 6 gallons per minute. The function f(t) 5 6t 1 500 represents the volume of water in the pool as it is filled.
9. A submarine is diving from the surface of the water at a rate of 17 feet per minute. The function f(t) 5 217t represents the depth of the submarine as it dives.
The y-intercept is 130. The rate of change is 160.5.
Chapter 2 Skills Practice
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Lesson 2.2 Skills Practice
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Name
Date
10. A helicopter flying at 3505 feet begins its descent. It descends at a rate of 470 feet per minute. The function f(t) 5 2470t 1 3505 represents the height of the helicopter as it descends.
2
11. A bathtub contains 5 gallons of water. The faucet is turned on and water is added to the tub at a rate of 4.25 gallons per minute. The function f(t) 5 4.25t 1 5 represents the volume of water in the bathtub as it is filled.
12. A free-diver is diving from the surface of the water at a rate of 8 feet per minute. The function f(t) 5 28t represents the depth of the diver.
Sketch the line for the dependent value to estimate each intersection point. 13. f(x) 5 240x 1 1200 when f(x) 5 720
