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To help you complete the table and answer the questions, let’s work through each step:

### Step-by-Step Solution:

#### Part (a): Fill in the Table
1. **December 1 - December 5 (5 days)**  
   - Beginning balance: **$1600.25**
   - Unpaid balance after 5 days = **$1600.25**
   - $1600.25 \times 5 = 8001.25$

2. **December 6 - December 8 (3 days)**  
   - A purchase of **$84.06** increases the balance.
   - New unpaid balance: $1600.25 + 84.06 = 1684.31$
   - Unpaid balance for these 3 days = $1684.31 \times 3 = 5052.93$

3. **December 9 - December 21 (13 days)**  
   - A purchase of **$310.90** increases the balance further.
   - New unpaid balance: $1684.31 + 310.90 = 1995.21$
   - Unpaid balance for these 13 days = $1995.21 \times 13 = 25937.73$

4. **December 22 - December 31 (10 days)**  
   - A payment of **$350.00** reduces the balance.
   - New unpaid balance: $1995.21 - 350.00 = 1645.21$
   - Unpaid balance for these 10 days = $1645.21 \times 10 = 16452.10$

Adding these up for the **Total Unpaid Balance x Number of Days** gives us:
- Total = $8001.25 + 5052.93 + 25937.73 + 16452.10 = 55443.01$

#### Part (b): Average Daily Balance
To find the average daily balance:
\[
\text{Average Daily Balance} = \frac{\text{Total Unpaid Balance x Number of Days}}{\text{Total Days}}
\]
\[
= \frac{55443.01}{31} \approx 1788.48
\]

#### Part (c): Interest Charge
If the interest rate is **1.5%** on the average daily balance:
\[
\text{Interest} = 1788.48 \times 0.015 = 26.83
\]

#### Part (d): January Beginning Balance
Starting balance for January will include the interest:
\[
\text{January Beginning Balance} = 1645.21 + 26.83 = 1672.04
\]

### Summary of Answers
1. **Table values**:
   - December 1: $8001.25$
   - December 6: $5052.93$
   - December 9: $25937.73$
   - December 22: $16452.10$
   - Total: $55443.01$

2. **(b)** Average Daily Balance: **$1788.48**

3. **(c)** Interest Charged: **$26.83**

4. **(d)** January Beginning Balance: **$1672.04**

---

Would you like a detailed breakdown of any specific calculation? Here are some related questions to explore further:

1. How would the calculations change if the interest rate were compounded daily?
2. What if Greg made an additional payment on December 15th? How would this affect the average daily balance?
3. Can you calculate the interest charged if the rate were increased to 2%?
4. How does an average daily balance method compare to a simple interest method for monthly credit card balances?
5. If Greg makes a larger payment in January, how will that affect his interest for the month?

**Tip:** Keeping track of unpaid balances daily, especially with multiple transactions, can help prevent high interest charges!

Here is Greg's credit card statement for the month of December. Use the credit card statement to help fill in the table, calculate the average daily balance, determine the interest charged, and find the January beginning balance.

Learn how to calculate the average daily balance and interest charges on a credit card for the month of December. This problem includes step-by-step guidance for filling in balance information, determining the unpaid balance, and calculating interest based on an average daily balance method. Ideal for high school students studying financial mathematics.

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