Final answer:
The equation to represent four-fifths of z added to six equals eight is (6/5)z + 6 = 8.
Step-by-step explanation:
To represent the given equation, we need to translate the words into mathematical expressions:
Four-fifths of z can be written as (4/5)z.
Adding six can be written as +6.
So the equation becomes (4/5)z + 6 = 8.
Therefore, the correct answer is D) (6/5)z + 6 = 8.