Which type of function best models the data in the table below?A. inverse variationB. linearC. logarithmicD. quadratic

Accepted Solution

Answer: Option A inverse variationExplanation: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.