Posted: September 16th, 2017

FIN 550 Assistance

Iris has been studying “aninvasive population of snails. This particular snail has no local
predators so the population grows wildly. She has observed that the population follows an
exponential rate of growth for fifteen years.
1. Create your own exponential function, f(x), which models the snail population. You will
need to identify the principal population of the snails and the rate of growth each year.
Explain to Iris how your function shows the principal population and the rate of growth,
in complete sentences.

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2. A local snail population grows according to the function g(x) = 200(1.03?x. Demonstrate
the steps to convert g(x) into an equivalent function with only x as the exponent. Then
explain to Iris how the key features of this local snail population compares to the key
features of the invasive population.
3. Iris wants to graph the invasive snail population to show the city council. Justify what the
appropriate domain and range would be for the function f(x), what the y-intercept would
be, and if the function is increasing or decreasing.
4. In five years, a garden festival plans on using the park where Iris has been studying the
invasive snails. Explain to the garden festival committee how to find the average rate of
change for the snail population between years 2 and 5. Describe what this average rate of
change represents.

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