To represent the amount \( a \) that Mike paid for buying 8 yards of ribbon, we can set up the following equation:
\[ a = \text{(cost per yard)} \times \text{(number of yards)} \]
Given that the cost per yard is $3.50 and Mike bought 8 yards, we can substitute these values into the equation:
\[ a = 3.50 \times 8 \]
Now, we can calculate the total amount \( a \):
\[ a = 3.50 \times 8 = 28 \]
Thus, the complete working equation is:
\[ a = 3.50 \times 8 \]
And the amount Mike paid for the ribbon is:
\[ a = 28 \]
So, Mike paid $28 for the 8 yards of ribbon.