Which description matches the function represented by the values of the table

 It is an exponential growth

Therefore, option C is correct.

Step-by-step explanation:

The given function is increasing hence, it can not be decay

So, option A and D are incorrect being decay.

Now, the given function is:

taking two points

(1,14) and (2,56)

y=ab

    (1)

And    (2)

Divide 2 by 1 we get:

Hence,

Now, taking point (1,14)

So, the function is:

Hence, it is an exponential growth

Therefore, option C is correct.

The function is and  is an exponential growth model.

Step-by-step explanation:

Given : The data representing a function.

We have to choose the correct option from the given options that  describes the values in the given table.

Consider the given table,

xy

114

256

3224

4896

53584

Since, The value of y is increasing with increasing value of x.

So, It is a growth function.

Also, The function for exponential growth is represented by function.

Let us consider any two points out of given points  (2,56) and (3,224)

Then

and

Divide both equations, we have,

Simplify, we have,

b = 4

Now substitute value of b in any of equation

Divide both side by 16 , we have,

c = 3.5

Thus, The function is and hence, is an exponential growth model.