Question

A conservation agency tracks the sea turtle population 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

Answer 1

Based on the number of years, and the number of nesting sites, the exponential function that best models the data is B. n(x) = 46,797(0.93)ˣ.

What function best models the data?

You can find the correct function by testing out the options with the given x value to see if it correctly predicts the number of nesting sites.

Function n(x) = 25,956.80(1.08)ˣ

Assuming x is 3:

= 25,956.80(1.08)³

= 32,698 sites

This function does not predict the correct number of sites which is 40,513.

Function n(x) = 46,797(0.93)ˣ

Assuming x is 3:

= 46,797(0.93)³

= 37,438 sites

This is closer to the predicted number of 40,513 sites with some discrepancy.

In conclusion, option B is correct.

Find out more on exponential functions at brainly.com/question/12940982.