Which of the following situations shows Inverse Variation? A. The cost of fish and its weight in kilograms B. The distance traveled by a car and its speed C. The speed of a car and the number of hours travel D. The electrical bill and the number of kilowatt-hour consumption
Answer (1)
Inverse Variation describes a relationship between two variables where the product of the variables is a constant. Mathematically, if two variables x and y vary inversely, then x × y = k , where k is a constant. In other words, as one variable increases, the other decreases proportionally.
Let's analyze each option:
A. The cost of fish and its weight in kilograms: This does not show inverse variation. Generally, the cost increases as the weight increases, which is a direct variation.
B. The distance traveled by a car and its speed: This also does not represent inverse variation. Distance is generally directly related to speed when time is constant.
C. The speed of a car and the number of hours traveled: This is an example of inverse variation. As the speed of a car increases, the time required to travel a certain distance decreases proportionally, assuming the distance remains constant.
D. The electrical bill and the number of kilowatt-hour consumption: This does not show inverse variation. Typically, as consumption increases, the bill increases, which is direct variation.
Thus, the correct choice is C. The speed of a car and the number of hours travel , as it exemplifies inverse variation.
