Question

Which type of function best models the data in the table below?

Answer 1

This is relationship is an inverse variation. In this relationship the product of x and y always equals a constant. In this case the product is 8. i.e. xy = 8.

Answer 2

Answer: Option A inverse variation

Explanation:

when we  compare the values from the given  table  x is increasing and y is decreasing hence we can see it is  an inverse variation.

In option B difference among  all consecutive  values of x is 2 but in y it is not same among  all consecutive  terms. In linear function change in y over change in x must be same.

In option C  x is increasing but y is decreasing which is violating the property of logarithmic function. In logarithmic function  if  x  increases then y should increase.

In option D first value of x is 2 following quadratic property meaning giving square of itself in y which is 4. But not all values of y are square of x except first value. In quadratic function value of y should be square of x.