To solve for the average daily balance based on the transactions and balances shown, let's break it down step-by-step using the Balance and Days columns for each date range.

Here is the breakdown:

1. Date Ranges and Balances:

   • May 1 to May 4 (3 days): Balance = $1,000
   • May 4 to May 7 (3 days): Balance = $1,193
   • May 7 to May 9 (2 days): Balance = $1,318
   • May 9 to May 13 (4 days): Balance = $1,461
   • May 13 to May 16 (3 days): Balance = $1,647
   • May 16 to May 19 (3 days): Balance = $1,834

2. Calculating Each Period's Total Balance Contribution:

   • May 1 - May 4: $1,000 \times 3 = 3,000$
   • May 4 - May 7: $1,193 \times 3 = 3,579$
   • May 7 - May 9: $1,318 \times 2 = 2,636$
   • May 9 - May 13: $1,461 \times 4 = 5,844$
   • May 13 - May 16: $1,647 \times 3 = 4,941$
   • May 16 - May 19: $1,834 \times 3 = 5,502$

3. Summing the Total Balance and Days:

   • Total balance across all periods = $3,000 + 3,579 + 2,636 + 5,844 + 4,941 + 5,502 = 25,502$
   • Total days = $3 + 3 + 2 + 4 + 3 + 3 = 18$

4. Average Daily Balance Calculation:

   • $\text{Average Daily Balance} = \frac{\text{Total Balance}}{\text{Total Days}} = \frac{25,502}{18} \approx 1416.78$

Thus, the average daily balance is approximately $1,416.78.

Would you like a further breakdown of any of these steps or details on why certain methods were used?

Here are some follow-up questions related to this problem:

1. How is the average daily balance used in calculating credit card interest?
2. What other methods are there for calculating average daily balance?
3. How would the average daily balance change if additional purchases were made?
4. Why is it important to know the exact date of each transaction?
5. How does rounding affect the final answer in average daily balance calculations?

Tip: For credit card balances, keep track of the exact dates of transactions, as each day's balance impacts the final average.