Tickets to the baseball game are on sale for $1.50 off the regular price. Dia buy six tickets. If her total cost is $51, how much is the regular price of each ticket?

$10
$7
$8.25
$8.75

Let the regular price of each ticket be x.

The discount applied to each ticket is $1.50, so Dia paid x - $1.50 for each ticket.
Dia bought six tickets, so she paid a total of 6(x - $1.50).
The total cost of the tickets is given as $51, so we can write the equation 6(x - $1.50) = $51.
Simplifying the equation, we get 6x - $9 = $51.
Adding $9 to both sides, we get 6x = $60.
Dividing both sides by 6, we find x = $10.
Therefore, the regular price of each ticket is $10. Answer: \boxed{10}.