Question

HELP!

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.

Answer 1

Step-by-step explanation:

By checking the table for when y=0, Jose was looking for the number of rows such that the total number of seats is zero. Jose needed to check the table for when y = 416.

Doing that, Jose would find the number of rows to be -13 or +16. He would determine that the auditorium has 16 rows of seats.