Question

The populations of deer and wild boars on an island in the Pacific Ocean were recorded over a period
of five years. The results are shown in the table. Which statement best describes the results?
Populations of Deer and Boars
Time (in Years)
Deer
Boars
0
2,200
3,500
1
2,420
3,850
2.
2,640
4,235
3
2,860
4,659
4
3,080
5,124
5
3,300
5,637
The population of boars is growing exponentially.
The population of deer is growing exponentially
Both populations are growing at a constant rate.
Both populations are growing at an exponential rate.

Answer 1

Answer:the population of deer is growing exponentially

Step-by-step explanation:

Answer 2

By analyzing the given tables we want to see which one of the given statements is true, we will see that the only true statement is the first one:

"The population of boars increases exponentially"

We have the tables:

year       deers       boars

0            2,200       3,500

1             2,420       3,850

2            2,640       4,235

3            2,860       4,659

4            3,080       5,124

5            3,300       5,637

So by looking at the table, you can see that each year the deer population increases by 220, so the deer population increases linearly.

For the boar population, from year 0 to year 1, the population increases by 350.

For years 1 to 2, the population increases by 385.

for years 2 to 3, the population increases by 424

So each year the increase is larger than the previous year, thus it increases exponentially.

Then the only correct statement is the first one, the population of boars is growing exponentially.

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