To solve this problem, follow these steps:
1. Determine the average number of books published per day: 105 books per day.
2. Find the number of days in September. September has 30 days.
3. Calculate the total number of books published in September by multiplying the average number of books published per day by the number of days in September:
[tex]\[
105 \text{ books/day} \times 30 \text{ days} = 3150 \text{ books}
\][/tex]
4. Round the result to the nearest hundred. To round 3150 to the nearest hundred, look at the tens digit (5). Since it is 5 or greater, round up.
The nearest hundred to 3150 is 3200.
Thus, approximately 3200 books would be published in the month of September based on the given average.
