1. **State the problem:** We need to identify which statement (A, B, C, or D) correctly describes the situation where the total amount increases by 8.2% each month and Jamie's account balance is $480 after 1 year. 2. **Understand the growth model:** The amount grows exponentially each month by 8.2%, so the growth factor per month is $1 + 0.082 = 1.082$. 3. **Write the exponential growth formula:** $$A(t) = A_0 \times (1.082)^t$$ where $A_0$ is the initial amount and $t$ is the number of months. 4. **Given:** After 1 year (12 months), the amount is $480$, so: $$480 = A_0 \times (1.082)^{12}$$ 5. **Solve for the initial amount $A_0$:** $$A_0 = \frac{480}{(1.082)^{12}}$$ 6. **Calculate $(1.082)^{12}$:** $$ (1.082)^{12} \approx 2.613$$ 7. **Calculate $A_0$:** $$A_0 = \frac{480}{2.613} \approx 183.7$$ 8. **Interpretation:** Jamie initially had approximately 183.7 in her account, which grew by 8.2% monthly to reach 480 after 1 year. 9. **Check the options:** - A: The total amount increases by 8.2% each month. (True) - B: The total amount increases by 82% each month. (False, 8.2% is correct) - C: Jamie had 480 after 1 year. (True) - D: Jamie initially had 480. (False, initial amount is about 183.7) **Final answer:** Options A and C are correct based on the problem description.