The table shows the estimated number of deer living in a forest over a five-year period. which type of function best models the data? write an equation to model the data. year estimated population 0 100 1 79 2 62 3 49 4 39

We are given the following data:

Year       Estimated Population

0                               100       

1                               79       

2                               62       

3                               49    

4                               39       

Just by looking at the data we can see that the relationship of year and estimated population is not linear. The decrease in the population does not follow a linear path, that is:

79 – 100 is not equal to 62 – 79

-21 is not equal to -17

Therefore, the relationship must be exponential. Let us find the common ratio by dividing the population in year 1 and year 0:

common ratio, r = 79 / 100 = 0.79

This means that the population decreases by 21% every year.

So the model for this data can be written as:

yn = y0 * r^n

Where,

yn = is the population after n years

y0 = initial population

r = growth rate = decreasing

n = number of years

what statement? is there an image?