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A group of biologists conducted a three-year study about the number of lizards living on an island. The data the biologists gathered is shown in the table.

Years 0 1 2 3
Number of Lizards 6,875 5,500 4,400 3,520

Which relationship best models the data?

A.
linear growth
B.
exponential decay
C.
linear decay
D.
exponential growth

User Paolino
by
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2 Answers

5 votes

Answer:

The answer is exponential decay hope this helps

User Oscprofessionals
by
8.7k points
2 votes

Answer: B. exponential decay


Explanation:

From the given table, we can observe that y is decreasing as x is increasing.

So it must be a decay function.

Also it can not models a linear relationship, since the rate of change is not constant throughout the table.

then it must be exponential decay function.

An exponential decay is represented by


y=A(1-r)^x. where x is the time period, A is the initial amount and r is the rate of decay




User Sven Eppler
by
7.3k points
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