Math jdbdid eirhrh

Question

A university had enrollments of 40,563 students in 2000 and 44,115 students in 2008 at its main campus.

(a) Assuming the enrollment growth is linear, find a linear model that gives the enrollment in terms of the year t, where t = 0 corresponds to 2000.

y(t) =______

(b) Use your model from part (a) to predict the enrollments in 2010 and 2015. (Round your answers to the nearest whole number.)

2010=______students

2015=______students

1. What is the slope of your model?
2. Explain the meaning of the slope in the context of the situation.

a) Each year, enrollment increases by about 444 students

b)The enrollment rate will remain constant at 444 students per year.

c) In 2000, there were 444 students.

d)Each year, enrollment decreases by about 444 students

e)In 2008, there were 444 students

Answer 1

For a linear model the equation will be:

y(t) = at + b

Where y is the number of students enrolled, a is the number of students added per year and b is the initial number of students at t=0.

After 8 years,

y(8) = 44115 = 8a + 40563

Solving for a, a = (44115-40563)/8 = 444

y(t) = 444t + 40563

The slope is 444 which is the number of students added each year after 2000.