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lubasha [3.4K]
3 years ago
11

please helppp The correct equation is S=2r+7 verify this equation matches your table for r=1 r=2 and r=3

Mathematics
1 answer:
Alik [6]3 years ago
3 0

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

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