Question

The function (B(x) = -9x + 81) models a bank account balance in dollars after x weeks. What is the initial balance?

a) $9
b) $81
c) $0
d) $72

Answer 1

The initial balance of the bank account is $81.

Step-by-step explanation:

The initial balance of a bank account is represented by the y-intercept of the function that models the account balance over time. In this case, the function B(x) = -9x + 81 models the bank account balance in dollars after x weeks. The y-intercept is the value of the function when x = 0. So, to find the initial balance, plug in x = 0 into the function:

B(0) = -9(0) + 81 = 81

Therefore, the initial balance is $81. Option b) $81 is the correct answer.