To find out how much 14 theater tickets would cost, we first need to determine the cost of one theater ticket.
Hope pays $126 for 6 tickets, so the cost per ticket is:
\[ \text{Cost per ticket} = \frac{126}{6} = 21 \text{ dollars} \]
Now, to find the cost of 14 tickets, we multiply the cost per ticket by 14:
\[ \text{Cost for 14 tickets} = 21 \times 14 = 294 \text{ dollars} \]
Thus, the cost for 14 theater tickets is $294.