Noel has an initial account balance of $4,000. For the next five months, her account balance increases by $1,000 per month. After that, her account balance, b, decreases by $1,000 per month, t. Which statements are true for this situation?

A.) The equation that models the account balance is b = -|1,000t − 5,000| + 9,000.
B.) The equation that models the account balance is b = -|1,000t − 9,000| + 9,000.
C.) The equation that models the account balance is b = -|1,000t − 9,000| + 4,000.
D.) Noel’s account balance will be $7,000 in 3 months and 7 months.
E.) Noel’s account balance will be $7,000 in 7 months and 11 months.