Turtle Population Functions and Models

Sally and Sam study turtle populations on three islands in the Florida Keys over five years. They analyze the data to identify patterns and determine the type of function that models each island's turtle population. Fun Island shows a linear pattern with a constant difference, Grape Island exhibits an exponential pattern with a common ratio, and Mystery Island suggests a quadratic pattern with a constant second difference. The video explains how to identify these function types using data tables.

What are the three islands being studied for turtle populations?

• Fun Island, Berry Island, Mystery Island

• Fun Island, Grape Island, Secret Island

• Sunny Island, Grape Island, Mystery Island

• Fun Island, Grape Island, Mystery Island

What is the common difference in the turtle population on Fun Island?

• 4 turtles per year

• 5 turtles per year

• 2 turtles per year

• 3 turtles per year

Which type of function best models the turtle population on Fun Island?

• Exponential

• Quadratic

• Linear

• Logarithmic

What is the equation for the turtle population on Fun Island?

• y = 2x^2 + x

• y = 3 * 2^x

• y = 2x + 3

• y = 3x + 2

What pattern is observed in the turtle population on Grape Island?

• The population remains constant

• The population triples each year

• The population decreases each year

• The population doubles each year

What is the equation for the turtle population on Grape Island?

• y = 2x^2 + x

• y = 2x + 3

• y = 3 * 2^x

• y = 3x + 2

What type of function is used to model the turtle population on Mystery Island?

• Linear

• Exponential

• Logarithmic

• Quadratic

What indicates a quadratic function in the turtle population data for Mystery Island?

• A constant sum

• A constant first difference

• A constant second difference

• A constant ratio

What is the equation for the turtle population on Mystery Island?

• y = 2x + 3

• y = 3 * 2^x

• y = 3x + 2

• y = 2x^2 + x

Which method is used to determine if a function is linear, exponential, or quadratic?

• By analyzing the differences and ratios

• By observing the color of turtles

• By measuring the size of turtles

• By checking the sum of y values