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antiseptic1488 [7]
4 years ago
9

The total number of seats in an auditorium is modeled by f(x) = 2x² - 12x, where x represents the number of rows of seats. How m

any rows are there in the auditorium if it has a total of 320 seats? Show work and explain how you got your answer
Mathematics
1 answer:
steposvetlana [31]4 years ago
3 0
320 = 2x² - 12x as when there are an unknown number of rows there are 320 seats.
0 = 2x² - 12x - 320
0 = x² - 6x - 160
0 = (x - 16)(x + 10)
for this to = 0 one bracket must equal 0
therefore x = 16 or x = -10
not a negative number of rows.

Therefore must be 16.
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