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6. 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 nearby 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.

f(t) = 18t + 85
g(t) = 15t + 95 < correct?

b. graph the system of equations to determine thepoint of intersection.

c. interpret the point of intersection in the context of the problem.