Question

In an audition there are 22 seats in the front row and 28 seats in a second row. the number of seats in a row continues to increase by 6 with each additional row. write an iterative rule to model the sequense formed by the number of seats in each row. show your work. us the rule to determen which row has 100 seats. show your work. answer:

Answer 1

The iterative rule to model the sequence of seats in each row is Seats in each row = Seats in the previous row + 6. Applying this rule, the row that has 100 seats is Row 14.

Step-by-step explanation:

To model the sequence formed by the number of seats in each row, we need to find the pattern in the increasing number of seats. Given that the first row has 22 seats and the second row has 28 seats, we can observe that each additional row increases the number of seats by 6. Therefore, the iterative rule to model the sequence is:

Seats in each row = Seats in the previous row + 6

To determine which row has 100 seats, we can use the iterative rule. Starting with the first row, we can keep adding 6 to the previous row's seat count until we reach or exceed 100. Let's calculate:

1. Row 1: 22 seats
2. Row 2: 22 + 6 = 28 seats
3. Row 3: 28 + 6 = 34 seats
4. ...
5. Row 15: 22 + (14 * 6) = 22 + 84 = 106 seats

Since Row 15 exceeds 100 seats, the row that has exactly 100 seats is Row 14.