Rabbit Population Modeling Concepts

The video tutorial explains how to model a rabbit population that oscillates around an average and grows exponentially. It introduces the concept of combining sinusoidal and exponential functions to represent the population dynamics. The oscillation is modeled using a cosine function, while the growth is represented by an exponential function. The tutorial provides a step-by-step guide to graphing these functions and deriving the final population equation.

What is the initial average population of rabbits in January?

• 950

• 850

• 1000

• 900

Which mathematical function is used to model the oscillating part of the rabbit population?

• Sine

• Exponential

• Cosine

• Tangent

What is the period of the cosine function used in the rabbit population model?

• 18 months

• 24 months

• 12 months

• 6 months

What is the amplitude of the oscillation in the rabbit population model?

• 125

• 100

• 75

• 50

How is the cosine function reflected in the rabbit population model?

• Across the Y-axis

• Across the X-axis

• Across the origin

• No reflection

What is the initial value for the exponential growth part of the population model?

• 850

• 900

• 950

• 1000

What is the monthly growth rate used in the exponential function of the model?

• 2%

• 4%

• 5%

• 3%

What is the base of the exponential function in the rabbit population model?

• 1.03

• 1.02

• 1.05

• 1.04

What does the graph of the rabbit population model show?

• Constant population

• Decreasing population

• Exponential growth with oscillation

• Linear growth

What is the overall trend of the rabbit population according to the model?

• Constant growth

• Exponential growth

• Exponential decline

• Linear decline