Final answer:
Mae's account balance after a $315 withdrawal and a potential $7 monthly fee if the balance is below $750 can be expressed as B - 315 - 7x, for months when the balance is less than $750, and B - 315 otherwise.
Step-by-step explanation:
The student is asking to express algebraically Mae's account balance after certain transactions and fees over x months. The initial withdrawal is $315, and if Mae's balance goes below $750, there is an additional $7 fee per month. To represent Mae's account balance algebraically, let's assume her starting balance is B.
Her new balance after the withdrawal would be B - 315. However, since there is a condition that if the balance is below $750, she would incur a $7 fee monthly, we have to incorporate this into our expression.
The algebraic expression, considering the monthly fee for 'x' months if the balance is below $750, would be:
B - 315 - 7x, if B - 315 < 750
Otherwise, if B - 315 ≥ 750, the fee is not applied, and the balance would simply be:
B - 315, if B - 315 ≥ 750