2. Identify the variation: “For the increase in speed, the time to cover a fixed distance reduces”.
Question
- Identify the variation: “For the increase in speed, the time to cover a fixed distance reduces”.
Solution
The variation identified in the statement "For the increase in speed, the time to cover a fixed distance reduces" is an inverse variation.
Step 1: Understand the statement The statement is saying that as speed increases, the time it takes to cover a certain distance decreases.
Step 2: Identify the type of variation In mathematics, there are two main types of variations: direct and inverse. In a direct variation, as one quantity increases, the other quantity also increases. In an inverse variation, as one quantity increases, the other quantity decreases.
Step 3: Apply the information to the types of variation In this case, as the speed (one quantity) increases, the time (the other quantity) decreases. This is characteristic of an inverse variation.
Therefore, the variation in the statement is an inverse variation.
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