Question

☻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.☺

0         89
1         55
2         34
3         21
4         13

Answer 1

exponential; y = 89 • 0.62x

Explanation:

Answer 2

We get a exponential model.

The equation is:

`y=88.789e^(-0.481x)`

Explanation:

We are given a table of data values that estimates the number of deer living in a forest over a five-year period as:

x y

0 89

1 55

2 34

3 21

4 13

Hence, when we plot the scatter plot of these points we see that the line of best fit that represents these data points is a exponential curve.

Since all the data point lie above this curve and the equation to model the data is given by:

`y=88.789e^(-0.481x)`