Graph the data in the table below which kind of function best models the data write and equation to model the data

Option C. is the answer.

Step-by-step explanation:

For linear function.

There should be a common difference in y values of the table.

In the table given

2nd term - 1st term = 8 - 4 = 4

3rd term - 2nd term = 16 - 8 = 8

4th term - 3rd term = 32 - 16 = 16

5th term - 4th term = 64 - 32 = 32

So, there is not a common difference in successive terms.

Therefore, the given data don't model a linear function.

For quadratic function

Difference of difference in the values of y should be same.

As we have calculated difference in terms above, so difference of difference will be

8 - 4 = 4

16 - 8 = 8

32 - 16 = 16

Now we find that difference of the difference is also not same. Therefore, data don't model a quadratic function.

For exponential function

For exponential function there should be a common ratio in every successive term.

We find a common ratio of 2 in each successive term so data represent an exponential function in the form of

where a = 4 and common ratio r = 2

Option C. is the answer.

step-by-step explanation:

d