What was "the new england way"?
a-practices that conformed to orthodox puritan beliefs
b-a call for the separation of the roles of church and state
c-practices that served to increase the power of the clergymen
d-belief in the calvinist doctrine of predestination

Among the options given on the question the correct answer is option A.

A-practices that conformed to orthodox Puritan beliefs

Explanation: The new England way was the church movement which started for controlling the national and social laws as well as personal life laws of a citizen according to the law of church in Massachusetts Bay Colony churches and, sometimes, to those of Connecticut or Rhode Island.

The system was evolved in 1645 in New England by the English colonists. based upon teachings of Henry Jacob, William Ames, and others, the "New England Way" evolved into New England Congregationalism.

They neither obeyed the prince nor president, they took the word of God. But they claimed that they are not separated from the  Anglican church. But they oppose to the corruption of them. They strongly opposed to those who were follower of different church rules.

Basically, they practice the original rules of orthodox puritan  beliefs.  

the option which was not a function of missionaries in the northwest was the first one - they established posts for trading furs and other goods.

missionaries were sent around the world to spread religion and their knowledge and others - they were not merchants who sold furs and other goods.