Emily was at a garage sale where the price of every item was reduced by 10\% of its current price every 15 minutes. At 9:00\:a.m., the price of a carpet was \$10.00. At 9:15\:a.m., the price was reduced to \$9.00. As soon as the price of the carpet fell below \$8.00, Emily bought it. At what time did Emily buy the carpet?
Answer Choices
A. 9:45\:a.m.
B. 9:15\:a.m.
C. 9:30\:a.m.
D. 10:15\:a.m.
E. 10:00\:a.m.