Student Population Growth and Change

The video tutorial explains how to model student population changes in a school using linear equations. It starts with an initial population of 520 students in 2005 and explores different scenarios of population changes over the years. The tutorial covers how to write equations in slope-intercept form, calculate the slope as the rate of change, and simplify rates. Examples include both increases and decreases in population, as well as constant population scenarios. The video also explains how to handle semester-based changes by converting rates appropriately.

What was the initial number of students enrolled when the school opened in 2005?

• 500

• 550

• 520

• 580

If the student population increases by 32 students per year, what is the slope of the equation?

• 32

• 520

• 10

• 48

What form of equation is used to model the student population growth?

• Quadratic

• Linear

• Logarithmic

• Exponential

What does the 'b' represent in the slope-intercept form of the equation?

• Initial value

• Final value

• Slope

• Rate of change

In the scenario where the student population decreases by 48 students per year, what is the slope?

• 32

• -32

• 48

• -48

If the student population decreases by 28 students every four years, what is the simplified slope?

• -7

• -28

• -4

• -14

How does the equation change when the student population remains constant?

• n = 520 - 7t

• n = 520

• n = 520 + 20t

• n = 520 + 10t

What is the equation when the student population increases by 20 students every two years?

• n = 520 + 20t

• n = 520 - 20t

• n = 520 - 10t

• n = 520 + 10t

What is the simplified rate of change if the student population increases by 10 students every semester?

• 5 students per year

• 15 students per year

• 20 students per year

• 10 students per year

How many semesters are considered in a year for calculating the rate of change?

• Two

• Four

• One

• Three