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NameMath 115 Fall 2019Group #Problem 3-College Enrollment: In 2000, a small college had an enrollment of 3050 studentSIn 2005, the enrollment was 4015 students. Assume the relationship between the studentenrollment and the year is linear, starting in the year 2000.a. Write a linear equation to represent this relationship where t is the number of years since2000b. What is the rate of change, and what does it represent in this context?State the y-intercept as an ordered pair. What does it represent in this context? Interpret bothcoordinates.C.Predict the student enrollment at the college in 2013. Show your work / explain what you didd.to determine this:e. Key Idea: When you are told to assume that the relationship between two variables x and y islinear, what are the implications? In other words, what can you infer/conclude?p. 3

Question
Name
Math 115 Fall 2019
Group #
Problem 3-College Enrollment: In 2000, a small college had an enrollment of 3050 studentS
In 2005, the enrollment was 4015 students. Assume the relationship between the student
enrollment and the year is linear, starting in the year 2000.
a. Write a linear equation to represent this relationship where t is the number of years since
2000
b. What is the rate of change, and what does it represent in this context?
State the y-intercept as an ordered pair. What does it represent in this context? Interpret both
coordinates.
C.
Predict the student enrollment at the college in 2013. Show your work / explain what you did
d.
to determine this:
e. Key Idea: When you are told to assume that the relationship between two variables x and y is
linear, what are the implications? In other words, what can you infer/conclude?
p. 3
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Name Math 115 Fall 2019 Group # Problem 3-College Enrollment: In 2000, a small college had an enrollment of 3050 studentS In 2005, the enrollment was 4015 students. Assume the relationship between the student enrollment and the year is linear, starting in the year 2000. a. Write a linear equation to represent this relationship where t is the number of years since 2000 b. What is the rate of change, and what does it represent in this context? State the y-intercept as an ordered pair. What does it represent in this context? Interpret both coordinates. C. Predict the student enrollment at the college in 2013. Show your work / explain what you did d. to determine this: e. Key Idea: When you are told to assume that the relationship between two variables x and y is linear, what are the implications? In other words, what can you infer/conclude? p. 3

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Step 1

The number of the students in 2000 and 2005 are 3050 and 4015 students. The linear relationship model can be given as Y = A + Bt  such that when t =0, A = 3050 and when t = 5, B = 4015.

a) By using the above information, the linear equation to represent this relationship can be obtaine...

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Calculus

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