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The estimated population, if the rate is a growth rate is 34696 populations
The estimated population, if the rate is a decline rate is 5657 populations
Exponential functions
The standard exponential equation is expressed as [tex]y = ab^x[/tex]
where;
- a is the intercept
- b is the growth rate
- x is the time taken
If the initial population is 15,000 with a rate of 15%, then;
a) If the rate is a growth rate, the estimated population will be expressed as;
[tex]y = 15000(1+0.15)^{6}\\y=15000(1.15)^6\\y = 15000(2.313)\\y \approx 34,696[/tex]
The estimated population, if the rate is a decline rate is 34696 populations
b) If the rate is a decline rate, the estimated population will be expressed as;
[tex]y = 15000(1-0.15)^{6}\\y=15000(0.85)^6\\y = 15000(0.37715)\\y \approx 5,657[/tex]
The estimated population, if the rate is a decline rate is 5657 populations
Learn more on exponential function here: https://brainly.com/question/12940982
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