Linear Functions and Student Enrollment

The video tutorial explains how to create a linear function to represent student enrollment at a charter school starting in 2005. It covers the basics of linear functions, including slope and intercept, and demonstrates how to calculate these from given data. The tutorial concludes with verifying the function and ensuring it accurately models the enrollment changes over time.

In what year did the charter school open with 350 students?

• 2000

• 2015

• 2005

• 2010

How often does the student population decrease by 100 students?

• Every three years

• Every four years

• Every two years

• Every year

What is the general form of a linear function?

• f(x) = ax + b^2

• f(x) = ax^2 + bx + c

• f(x) = mx + b

• f(x) = a/x + b

In a linear function, what does the slope represent?

• The initial amount

• The constant rate of change

• The maximum value

• The minimum value

What is the initial amount of students in 2005?

• 400

• 350

• 300

• 250

How is the slope calculated in this problem?

• Total students divided by total years

• Total years divided by total students

• Change in years divided by change in students

• Change in students divided by change in years

What is the slope of the linear function for student enrollment?

• 100

• 50

• -50

• -100

What is the linear function representing the number of students?

• n(t) = 100t + 350

• n(t) = -100t + 350

• n(t) = -50t + 350

• n(t) = 50t + 350

What should be the student enrollment two years after 2005?

• 400

• 300

• 250

• 350

How can you verify the accuracy of the linear function?

• By using a different function

• By ignoring the initial data

• By guessing the values

• By checking the function with known values