Question

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

A. inverse variation
B. linear
C. logarithmic
D. quadratic

Answer 1

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.

Answer 2

The type of function that best models the table given is: A. inverse variation.

What is Inverse Variation?

Inverse variation can be described as a relationship between two variables, whereby, the product of the two variables will give a constant. It is expressed as, k = xy.

In an inverse variation, if one variable increases, the other variable decreases.

The table shows an inverse variation because as x increases, y decreases, and can be expressed as k = xy.

Therefore, the type of function that best models the table given is: A. inverse variation.

Learn more about inverse variation on:

https://brainly.com/question/13998680