The total number of seats in an auditorium is modeled by f(x) = 2x2 – 6x, where x represents the number of rows. how many rows are there in the auditorium if it has a total of 416 seats?

jose knows to solve for x to determine the number of rows. he decides to use his calculator. under y =, he types in 2x^2-6x.

he gets the two solutions
x=0,x=3
jose determines the auditorium has 3 rows.

Jose's solution is not correct, the auditorium has rows

Step-by-step explanation:

we have

where

f(x)------> is the total number of seats in the auditorium

x----> represents the number of rows

How many rows are there in the auditorium if it has a total of 416 seats?

so

Find the value of x for f(x)=416 seats

substitute the value of f(x) in the equation

Using a graphing calculator

The values of x are

The solution is

x=16 rows because the number of rows can not be a negative number

the third picture

step-by-step explanation: