1. 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 plug in the total seats for f(x): 416 = 2x2 – 6x
jose needs to solve for x to determine the number of rows. he decides to use his calculator. under y =, he types in 2x2 – 6x. he checks the table for when y = 0.
he gets the two solutions:
x = 0, x= 3
jose determines the auditorium has 3 rows.

error:

correct solution:

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 an auditorium

x----> represents the number of rows

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

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

side xy = 10

sin(x) = 4/5

cos(x) = 3/5

tan(x) = 4/3

step-by-step explanation:

image for option 4

step-by-step explanation:

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