To model the situation described, let \( y \) represent the total cost charged by the plumber, and \( x \) represent the number of hours worked. The plumber charges a flat consultation fee of $25 plus $60 for each hour worked.
So, the correct linear equation is:
\[ y = 60x + 25 \]
This means the total cost \( y \) is equal to $60 times the number of hours \( x \) plus the $25 consultation fee.
Thus, the answer is y = 60x + 25.