Linear Functions and Population Growth

The video tutorial explains how to construct a linear function to model real-world scenarios, using the example of an antelope population in a wild animal park. It covers the concepts of slope and y-intercept, demonstrates how to calculate them from different representations, and highlights common mistakes in interpreting linear functions. The tutorial concludes with a detailed example of modeling population growth using a linear function.

What is the initial population of antelope in the wild animal park?

• 50

• 75

• 100

• 150

What is the constant rate of change in a linear function called?

• Coefficient

• Intercept

• Slope

• Variable

In the function y = 3x + 2, what does the number 2 represent?

• Variable

• Y-intercept

• X-intercept

• Slope

What is a common mistake when interpreting the cost of a cell phone plan with unlimited minutes?

• Thinking it's a curved line

• Thinking it's a diagonal line

• Thinking it's a vertical line

• Thinking it's a horizontal line

What should the graph of a cell phone plan with a fixed cost look like?

• A vertical line

• A diagonal line

• A horizontal line

• A curved line

What is the y-intercept in the antelope population problem?

• 5

• 50

• 100

• 150

How many antelope are added to the population each year?

• 3

• 10

• 5

• 2

What is the slope of the function modeling the antelope population?

• 3

• 2

• 5

• 10

In a graph, where does the initial value appear?

• At the highest point

• Where the graph crosses the x-axis

• Where the graph crosses the y-axis

• At the origin

What have you learned in this lesson about constructing linear functions?

• How to solve quadratic equations

• How to calculate the slope only

• How to find the y-intercept only

• How to construct a linear function from various representations