SOLUTION: My teacher gave us a project that has a few questions: A.) The population of a certain animal species decreases at a rate of 3.5% per year. You have counted 80 of the animals in t

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: My teacher gave us a project that has a few questions: A.) The population of a certain animal species decreases at a rate of 3.5% per year. You have counted 80 of the animals in t      Log On


   



Question 946039: My teacher gave us a project that has a few questions:
A.) The population of a certain animal species decreases at a rate of 3.5% per year. You have counted 80 of the animals in the habitat.
1. Write a function that models the change in animal population.
2. Write the function that models exponential growth or decay

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A.) The population of a certain animal species decreases at a rate of 3.5% per year. You have counted 80 of the animals in the habitat.
:
1. Write a function that models the change in animal population.
a 3.5% reduction each year means we have 96.5% of the previous year
where x = no. of years, y = animal population
f(x) = 80*(.965^x)
;
2. Write the function that models exponential growth or decay
the above is an exponential decay equation
:
A graph showing a 20 yr period
+graph%28+300%2C+200%2C+-6%2C+24%2C+-10%2C+90%2C+80%2A%28.965%5Ex%29%29+