Answer:
Step-by-step explanation:
Part (A).
Row Number of seats
1 9
2 11
3 13
4 15
5 17
6 19
7 21
(B). Jonathan models the equation for the pattern of number of seats as,
S = 7r + 2
Where S = number of seats in every row 'r'
For r = 1,
S = 7(1) + 2 = 9
Models for row 1.
For r = 2,
S = 7(2) + 2 = 16
Not correct.
For r = 3,
S = 7(3) + 2 = 23
Not correct.
Therefore, this equation doesn't work for the rows above the first row.
(C). Correct equation is,
S = 2r +7
For r = 1,
S = 9
For r = 2,
S = 4 + 7 = 11
For r = 3,
S = 6 + 7 = 13
Therefore, this equation works for all the rows.
(D). Number of seats in 15th row = 2(15) + 7 = 37 (For r = 15)
(E). 91 = 2r + 7
2r = 91 - 7
2r = 84
r = 42
Therefore, in 42nd row number of seats = 91
