Mouse Population Dynamics and Functions

The video tutorial explains how the mouse population in an area during a drought is represented by a function. It covers the significance of the slope, which indicates a decrease in population over time, and the Y-intercept, which shows the initial population. The slope is negative, meaning the population decreases by 2,000 mice every 3 months. The Y-intercept reveals that the initial population is 5,000 mice. Overall, the video provides insights into interpreting the function's slope and Y-intercept in the context of population changes.

What does the variable X represent in the function describing mouse population?

• Mouse population in thousands

• Mouse population in hundreds

• Time in months

• Time in years

What does the slope of a function generally indicate?

• The maximum value of the function

• The initial value of the function

• The rate of change in Y with respect to X

• The minimum value of the function

In the context of the mouse population function, what does a negative slope indicate?

• The population is increasing over time

• The population is fluctuating over time

• The population is constant over time

• The population is decreasing over time

How much does the mouse population decrease every 3 months according to the slope?

• 1,000 mice

• 2,000 mice

• 4,000 mice

• 3,000 mice

What happens to the mouse population every 3 months according to the function?

• It increases by 2,000 mice

• It doubles

• It decreases by 2,000 mice

• It remains constant

What does the B value represent in the function?

• The maximum population reached

• The minimum population reached

• The initial population when time is zero

• The rate of change of the population

If X is zero, what is the population of mice according to the function?

• 7,000 mice

• 3,000 mice

• 5,000 mice

• 1,000 mice

What is the initial population of mice when no time has passed?

• 2,000 mice

• 3,000 mice

• 7,000 mice

• 5,000 mice

What does the Y-intercept of a function typically tell us?

• The rate of change of the function

• The initial or starting value of the function

• The maximum value of the function

• The minimum value of the function

In the context of the video, what is the significance of the Y-intercept?

• It shows the rate at which the population decreases

• It indicates the starting population of mice

• It represents the time taken for the population to halve

• It marks the end of the population study