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.

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.