Subjects algebra

Account Balance

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1. **Stating the problem:** Roxanne deposits 300 initially and adds 20 each week. We want to find which table correctly shows her account balance over the first 4 weeks. 2. **Formula:** The balance after $W$ weeks is given by $$A = 300 + 20W$$ where $300$ is the initial deposit and $20W$ is the total added after $W$ weeks. 3. **Calculate balances for weeks 0 to 4:** - Week 0: $A = 300 + 20 \times 0 = 300$ - Week 1: $A = 300 + 20 \times 1 = 320$ - Week 2: $A = 300 + 20 \times 2 = 340$ - Week 3: $A = 300 + 20 \times 3 = 360$ - Week 4: $A = 300 + 20 \times 4 = 380$ 4. **Compare with tables:** - Table A matches these values exactly. - Tables B, C, and D do not match the calculated balances. **Final answer:** Table A correctly shows the balance of Roxanne's account over the first four weeks.