Question

0 98

1 77
2 61
3 48
4 38
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
quadratic; y = 98x2 + 0.79
quadratic; y = 0.79x2 + 98
exponential; y = 98 • 0.79x
linear; y = 0.79x + 98

Answer 1

Exponential would be the correct answer I believe...

Answer 2

For a better understanding of the explanation provided here please find the attachment.

The solution will employ the use of the trial and error method and basic math.

As can be see from the given data, the deer population keeps on falling from the year zero. Thus, we can safely conclude that the quadratic and the linear models will not represent the situation at all.

We are left with the exponential model and since we have
`(0.79)^x` in it we can see that the deer population will fall as the years pass.

We have checked it in the table that has been provided and we have concluded that the data is best represented by the exponential model because when the exponential formula is applied it is almost equal to the actual number of deers.

Please check the attached table for a better understanding.