Given:
Initial population = 100 algae
Growth rate = 30% per day.
Time = 5 days
To find:
The future amount of population.
Solution:
The exponential growth model is
[tex]y=a(1+r)^t[/tex]
where, a is the initial value, r is the rate of interest in percent and t is time period.
Substituting the given values, we get
[tex]y=100(1+\dfrac{30}{100})^5[/tex]
[tex]y=100(1+0.30)^5[/tex]
Now, solve this.
[tex]y=100(1.30)^5[/tex]
[tex]y=100(3.71293)[/tex]
[tex]y=371.293[/tex]
Therefore, the future value is 371.293 algae.
