Answer:
Option D) shows quadratic variation.
Step-by-step explanation:
We are given the following information in the question:
- Variation refers to a relationship between two variables.
- There are a number of different types of variation, such as direct variation or inverse variation.
- Quadratic variation to describe a way in which two variables relate to one another.
- We could write quadratic variation as:
\(y = kx^2\), where k is a constant.
Option D) is an example of quadratic variation and can be explained as:
For k = 3
\(y(x) = 3x^2\\\\x = 1\\y(1) = 3(1)^2 = 3\\\\x = 2\\y(2) = 3(2)^2 = 12\\\\x = 3\\y(3) = 3(3)^2 = 27\\\\x = 4\\y(4) = 3(4)^2 = 48\)
Hence, Option D) shows a relation of quadratic variation.
