The total weight of the cargo entering a seaport each year can be modeled by the function C(t) 0.2t 3 1000t 2 10t 50,000, where t is the number of years since the port was opened. The average weight of cargo delivered by each ship is modeled by the function A(t) 0.1t 500. Write an expression describing the number of ships entering the port each year.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?