Please state which of the options is the correct answer and explain why this is. Additionally, please fully also explain why the other answers are incorrect. (If the reasoning for the correct answer and incorrect answers are not adequately provided, your answer will be sent back to coursehero). Thank you.

Suppose a certain economy has a positive level of debt,and its government maintains a balanced budget. The growth rate of real GDP is above the real interest rate. What will happen with the debt to GDP ratio over time? a. Will remain the same; b. None of the other answers; c. It will decrease; d. The direction of change depends on by how much the growth rate of GDP is below the interest rate; e. It will increase