The expression for the total number of seats in the center section is 12c² +29c - 8
Writing an expression
From the question, we are to determine the expression for the total number of seats in the center section
From the given information,
The theater has a center seating section with 3c + 8 rows and 4c - 1 seats in each row
The number of seats in the center section is the product of 3c + 8 and 4c - 1
Thus,
Number of seats in the center section = (3c + 8)(4c -1)
Number of seats in the center section = 12c² - 3c + 32c - 8
Number of seats in the center section = 12c² +29c - 8
Hence, the expression for the total number of seats in the center section is 12c² +29c - 8
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