Aprivate school opened in 2005 with an initial enrollment of 85 students. the enrollment has increased by an average of 18 students each year since the school opened. a nearby public school had an enrollment of 95 in 2005, and its enrollment has increased by an average of 15 students per year. interpret the point of intersection in the context of the problem.

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.