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