B) Find the slope of the line passing through the pair of points from part A and explain the information the slope gives about the situation.
C) Write an equation that relates the high school's student enrollment, P, to the number of years since 2009, t.
D) Predict the high school's enrollment in 2017.
Answer: A)
B) Slope=200, It means enrollment of 200 students increases each year.
C)
D) 2500 students.
Step-by-step explanation:
Given: The student enrollment of the high school, P, has increased at a constant rate each year, t, since 2009.
At 2009, t=0 and at 2012, t=3 [Since 2012-2009=3 years]
A) In points , the given enrollment numbers will be written as:-
B) The slope of the line passing through is given by:-
It means enrollment of 200 students increases each year.
C) The linear equation with slope= 200 and and the initial number of students (900) is given by
D) At 2017, t=8 [Since 2017-2009=8]
Then
The high school's enrollment in 2017 = 2500 students.