Final answer:
The British colonies grew faster than New France due to a diversified economy involving family farms and cash crops, a political system promoting religious and economic freedoms, and a higher rate of population growth from English immigration.
Step-by-step explanation:
The thirteen colonies of Britain in North America grew faster than the French colony of New France for three main reasons. First, the British colonies had a more diverse economy that included family farms, cash crops like tobacco, and rapid economic growth in the middle colonies like New York and New Jersey, which were commercially focused. By contrast, New France relied heavily on the fur trade, a less diversified and more limited economic model.
Secondly, the British political system and the intellectual and religious freedoms it permitted helped bind the colonies together and stimulate growth. Colonists were able to practice their faith openly and become somewhat self-sufficient due to economic ties to Britain through the mercantilist system. These freedoms and self-sufficiency were not as pronounced in New France.
Lastly, British colonies were more populous, receiving greater numbers of immigrants due to overcrowding and poverty in England. They managed to establish and populate nearly a dozen colonies, which increased their manpower and potential for economic expansion. In comparison, France did not encourage emigration as much, limiting the growth of their North American colonies.