A tree has 99,400 leaves before autumn. Once autumn begins, the number of leaves on a tree decreases at a rate of 13% per day. After t days of autumn, there are fewer than 12,000 leaves on the tree.

Which inequality represents this situation, and after how many days of autumn will the number of leaves on the tree be fewer than 12,000?

A.12,000(1.087)t > 99,400; 18 days

B.99,400(1.13)t > 12,000; 15 days

C.12,000(0.913)t < 99,400; 17 days

D.99,400(0.87)t < 12,000; 16 days