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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


a. quadratic; y = 0.62x2 + 89

b. exponential; y = 89 • 0.62x

c. linear; y = 0.62x + 89

d. quadratic; y = 89x2 + 0.62

The table shows the estimated number of deer living in a forest over a fiveyear period Are the data best represented by a linear exponential or quadratic model class=

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sparxcrosswrites

Answer:

 

exponential; y = 89 • 0.62^x

Step-by-step explanation:

Answer:

Option B exponential y = 89 · 0.62x

Step-by-step explanation:

The table shows the estimated number of deer living in a forest over a five year period.

Year            Number of deers

0                     89

1                      55

2                     34

3                     21

4                     13

Now we have to find the model representing this situation. Difference in number of deer, in the forest.

We can see there is a common ratio between each successive term r = [tex]\frac{55}{89}[/tex] = 0.618

r = [tex]\frac{34}{55}[/tex] = 0.618

so it can be represented by an exponential model.

[tex]y=a (r) ^{x}[/tex]

[tex]y=89(62) ^{x}[/tex]

Option B is the answer.

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