5. When a person increases cycling speed, the rate of calories burned, distance traveled, and energy expended also increase. Which of the following is the independent variable?
Answer: A
Speed is the independent variable.
In the context of the relationship between cycling speed and the rate of calories burned, distance traveled, and energy expended, speed acts as the independent variable. This is because it is the variable that is manipulated to observe the effect on the other variables.
A) Speed
Speed is the independent variable because it is the factor that is controlled and varied in the experiment. By changing the speed of cycling, we can observe how it influences the rate of calories burned, distance traveled, and energy expended.
B) Energy
Energy is not the independent variable; rather, it is a dependent variable that is affected by changes in speed. The amount of energy expended will vary based on how fast a person cycles, making it dependent on the speed.
C) Distance
Distance is also a dependent variable in this context. The distance traveled is influenced by the speed at which a person cycles. As speed increases, the distance covered in a given time frame changes, indicating that distance relies on the independent variable.
D) Calories
Calories burned is another dependent variable that is influenced by cycling speed. The rate at which calories are burned increases with higher speeds, demonstrating that calorie expenditure depends on the independent variable rather than being independent itself.
Conclusion
Speed is definitively the independent variable as it is the primary factor being altered to observe its effects on calories burned, distance, and energy expenditure. In contrast, energy, distance, and calories are dependent variables that vary in response to changes in speed. This clear distinction confirms that speed is the correct choice for the independent variable in this scenario.