Solve the Problem $$\mathrm { P } ( \mathrm { t } ) = \frac { 45 ( 1 + 0.6 \mathrm { t } ) } { ( 3 + 0.02 \mathrm { t } ) }$$

Essay

Solve the problem.
-A rare species of insect was discovered in the rain forest of Costa Rica. Environmentalists transplant the insect into a
protected area. The population of the insect t months after being transplanted is $$\mathrm { P } ( \mathrm { t } ) = \frac { 45 ( 1 + 0.6 \mathrm { t } ) } { ( 3 + 0.02 \mathrm { t } ) }$$ a) What was the population when t = 0?
b) What will the population be after 10 years?
c) What is the largest value the population could reach?