Which sentence is punctuated correctly ?

The sentence that is punctuated correctly is C. I live my life by this motto: "Live life to the fullest."

Explanation:

Quotes can be introduced by a comma, a colon or nothing. Whenever the introduction is not an independent clause, a comma is usually used. Whenever the introduction is an independent clause, the quotation should be introduced by a colon. This is the case of sentence C, where the quotation is not dependent from the previous sentence as it is a complete sentence. Therefore, sentence C is punctuated correctly.

first industrial revolution - the first wave of the industrial revolution lasted from the late 1700s to the mid-1800s. it industrialized the manufacture of textiles and began the move of production from homes to factories. steam power and the cotton gin played an important role in this period.

you didn't post any options. a few things that spring is known to represent are: rebirth, birth, new life,   and life.