The population of a certain fish species can be modeled using the equation
P(t)= 50e0.15t
where t is the number years after 2018.
A particular lake can accommodate at most 3,500 of this fish species.
Based on the model, during which year will the population of fish first exceed the capacity of the lake?
a. 2022
b. 2028
c. 2046
d. 2088