Final answer:
The initial balance of the bank account is $81.
Step-by-step explanation:
The initial balance of the bank account can be found by identifying the y-intercept of the function B(x) = -9x + 81. In this case, the y-intercept is the value of the function when x = 0. So, we substitute x = 0 into the function and solve for B(0):
B(0) = -9(0) + 81 = 81
Therefore, the initial balance of the bank account is $81. So, the correct answer is b) $81.