Final answer:
To calculate the fish population after 6 years with a 15% annual growth rate from an initial population of 300 fish, use the exponential growth formula y = 300(1 + 0.15)^6.
Step-by-step explanation:
To find the number of fish in a pond, y, after 6 years given an initial population of 300 fish and an annual increase of 15%, you can use the formula for exponential growth. The equation is:
y = P(1 + r)^t
Where:
- P is the initial population.
- r is the growth rate (as a decimal).
- t is the number of years.
Using the values provided:
P = 300
r = 0.15
t = 6
The equation becomes:
y = 300(1 + 0.15)^6