At a community center, the number of participants in yoga classes is modeled by the linear equation:
$$ y = 3x + 5 $$
where $$ y $$ represents the number of participants and $$ x $$ represents the number of classes held. If the community center wants to determine the number of participants if they hold 10 yoga classes, calculate the value of $$ y $$.
After finding the value of $$ y $$, divide that number by the total number of classes held and provide the quotient as your answer in the grid-in format.