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- 1. Multiple Choice
For an experiment, a scientist designs a can, 20 cm in height, that can hold water. A tube is installed at the bottom of the can allowing water to drain out.
At the beginning of the experiment, the can is full. When the experiment starts, the water begins to drain, and the height of the water in the can decreases by a factor of 1/3 each minute.
What is the input (or independent variable)?
The height of the water
Minutes
- 2. Multiple Choice
For an experiment, a scientist designs a can, 20 cm in height, that can hold water. A tube is installed at the bottom of the can allowing water to drain out.
At the beginning of the experiment, the can is full. When the experiment starts, the water begins to drain, and the height of the water in the can decreases by a factor of 1/3 each minute.
What is the output (or dependent variable)?
The height of the water
Minutes
- 3. Multiple Choice
For an experiment, a scientist designs a can, 20 cm in height, that can hold water. A tube is installed at the bottom of the can allowing water to drain out.
At the beginning of the experiment, the can is full. When the experiment starts, the water begins to drain, and the height of the water in the can decreases by a factor of 1/3 each minute.
Complete the statement: "______ is a function of _____"
The height of the water is a function of minutes
Minutes is a function of the height of the water.
- 4. Multiple Choice
For an experiment, a scientist designs a can, 20 cm in height, that can hold water. A tube is installed at the bottom of the can allowing water to drain out.
At the beginning of the experiment, the can is full. When the experiment starts, the water begins to drain, and the height of the water in the can decreases by a factor of 1/3 each minute.
Write this description in function notation.
- 5. Multiple Choice
For an experiment, a scientist designs a can, 20 cm in height, that can hold water. A tube is installed at the bottom of the can allowing water to drain out.
At the beginning of the experiment, the can is full. When the experiment starts, the water begins to drain, and the height of the water in the can decreases by a factor of 1/3 each minute.
Evaluate the function at f(0).
20
20 / 3
1 / 3
20 / 9
- 6. Multiple Choice
For an experiment, a scientist designs a can, 20 cm in height, that can hold water. A tube is installed at the bottom of the can allowing water to drain out.
At the beginning of the experiment, the can is full. When the experiment starts, the water begins to drain, and the height of the water in the can decreases by a factor of 1/3 each minute.
Evaluate the function at f(1).
20
20 / 3
20 / 6
20 / 9
- 7. Multiple Choice
For an experiment, a scientist designs a can, 20 cm in height, that can hold water. A tube is installed at the bottom of the can allowing water to drain out.
At the beginning of the experiment, the can is full. When the experiment starts, the water begins to drain, and the height of the water in the can decreases by a factor of 1/3 each minute.
Evaluate the function at f(2).
20 / 6
20 / 9
20 / 18
20 / 27
- 8. Multiple Choice
For an experiment, a scientist designs a can, 20 cm in height, that can hold water. A tube is installed at the bottom of the can allowing water to drain out.
At the beginning of the experiment, the can is full. When the experiment starts, the water begins to drain, and the height of the water in the can decreases by a factor of 1/3 each minute.
Evaluate the function at f(3).
20 / 6
20 / 9
20 / 18
20 / 27
- 9. Multiple Choice
For an experiment, a scientist designs a can, 20 cm in height, that can hold water. A tube is installed at the bottom of the can allowing water to drain out.
At the beginning of the experiment, the can is full. When the experiment starts, the water begins to drain, and the height of the water in the can decreases by a factor of 1/3 each minute.
Does this situation describe a function?
Yes, the height of water is a function of time.
No, there are 2 different heights of water for 1 time period.
No, there are 2 time periods for 1 height of water.
Yes, time is a function of the height of water.
- 10. Multiple Choice
For an experiment, a scientist designs a can, 20 cm in height, that can hold water. A tube is installed at the bottom of the can allowing water to drain out.
At the beginning of the experiment, the can is full. When the experiment starts, the water begins to drain, and the height of the water in the can decreases by a factor of 1/3 each minute.
What would the graph of this description look like?
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