Modeling Population Changes with Equations

The video tutorial explains how to model population changes using linear and exponential equations. It covers scenarios of constant and percentage-based increases and decreases, providing equations for each case. Linear equations are used for constant changes, while exponential equations are applied for percentage changes. The tutorial includes examples of population growth and decline over different time intervals, emphasizing the importance of correctly setting the exponent in exponential equations to match the time period of change.

What type of equation is used when the change is a constant amount per unit of time?

• Exponential equation

• Logarithmic equation

• Quadratic equation

• Linear equation

In the context of the video, what is the initial student population in 2010?

• 990 students

• 1000 students

• 900 students

• 950 students

How often does the student population increase by 20 students?

• Every four years

• Every year

• Every five years

• Every two years

What is the formula used for exponential growth in the video?

• y = a + bx

• y = a * (1 + r)^x

• y = a * x^b

• y = a / (1 + r)^x

What is the percentage increase in population every four years?

• 10%

• 11%

• 15%

• 12%

How is a 7% decrease in population every three years modeled?

• Using a linear equation

• Using a quadratic equation

• Using an exponential decay equation

• Using a logarithmic equation

What is the rate of decrease in students every semester?

• 100 students

• 152 students

• 76 students

• 50 students

How many times per year does the population increase by 25%?

• Four times

• Once

• Twice

• Three times

What is the slope used in the linear equation for a decrease of 76 students every semester?

• -152

• -76

• -100

• -50

What is the initial population used in all the equations discussed in the video?

• 950

• 900

• 1000

• 990