MEDAL AND FAN

A private 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 public school had an enrollment of 95 in 2005, and its enrollment has increased by an average of 15 students per year.
a. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.

Question

MEDAL AND FAN

A private 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 public school had an enrollment of 95 in 2005, and its enrollment has increased by an average of 15 students per year.
a.	Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.

adll23 · Answer

b.	Graph the system of equations to determine the point of intersection.
c.	Interpret the point of intersection in the context of the problem.