Question

ITS 25 POINTS PLEASE ANSWER

Answer 1

Answer:

17 rows

Step-by-step explanation:

We know that f(x) = 2x² - 10x models the total number of spaces and x models the number of rows.

Since we are given the total number of spaces of 408. We let f(x) = 408

2x² - 10x = 408

Now we solve as a quadratic, subtract 408 to both sides

2x² - 10x - 408 = 0

Divide 2 on both sides

x² - 5x - 204 = 0

We look for terms that multiply to -204 and add to -5.

Those terms are -17 and 12

x² - 17x + 12x - 204 = 0

x(x-17) + 12(x-17)

(x+12)(x-17)

x = -12 x = 17

We can not have -12 rows but we can have 17 rows.

17 rows is the answer.