How do you write an exponential function to model the situation. Then estimate the value of the function after 5 years. A population of 290 animals that increases at an annual rate of 9%?

1 Answer
MeneerNask
Jul 8, 2018

N=290xx1.09^YN=290×1.09Y

Explanation:

An compounded increase of 9%9% means the growth factor is 1.091.09, in other words the population will be multiplied by 1.091.09 every year:

After 5 years the number will be:

290xx1.09^5=290xx1,5386...~~446

Note:
The general function is N=BxxG^T

Where N= new, B=begin, G=growth factor, T=number of periods.

The growth factor can be derived from the percentage growth by:
G=1+-P/100 where P=percentage growth (or decline).

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