The population model is an exponential decay because it decreases
The exponential model of the population is P = 3000(0.64^1/7)^t
How to determine the function?
The population decreases by 0.36 every 7 years.
This means that the function is an exponential decay.
An exponential decay function is represented as:
P = a((1 - r)^1/n)^t
Where:
- a represents the initial value (3000)
- r represents the rate (0.36)
- n represents the number of years the population decreases (7)
- P and t are the variables
So, we have:
P = 3000((1 - 0.36)^1/7)^t
Evaluate the difference
P = 3000(0.64^1/7)^t
Hence, the exponential model of the population is P = 3000(0.64^1/7)^t
Read more about exponential functions at:
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