Write the Word or Phrase That Best Completes Each Statement $t$

Essay

Write the word or phrase that best completes each statement or answers the question.
-a A rare species of insect was discovered in the rain forest of Costa Rica. Environmentalists transplant the insect in 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?