The equation b = 12.47a + 25 represents the amount of money that a member will have spent after buying a number of books from Noble Crown Books.
If Alex intends to spend no more than $110 on books this year, he can substitute this value for b in the equation and solve for a, the number of books he can buy.
Substituting, we get:
110 = 12.47a + 25
85.53 = 12.47a
a = 6.86 books
Since Alex can only buy whole books, he can buy a maximum of 6 books.
Therefore, the answer is A) 6 books.