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a conservation agency tracks the sea turtle by counting the number of nesting sites where the turtles lay their eggs. The table shows the numbers of nesting sites for several years since 2001. The data can be modeled by an exponential function.​

A Conservation Agency Tracks The Sea Turtle By Counting The Number Of Nesting Sites Where The Turtles Lay Their Eggs The Table Shows The Numbers Of Nesting Site class=

Answer :

RAPHEALNWOBIGO

The exponential function is given by y = 46797(0.93)ˣ

Exponential function

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Let n(x) represent the number of nesting sites, x years since 2001, hence, from table:

At (1, 46125):

46125 = ab¹   (1)

At (7, 27691):

27691 = ab⁷   (2)

Hence:

a = 46797, b = 0.93

The exponential function is given by y = 46797(0.93)ˣ

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