Creating Equations and Graphs from Scenarios

This video tutorial teaches students how to create equations, graphs, and tables from scenarios. It begins with a review of identifying independent and dependent variables, followed by practical examples. Students learn to fill out tables, derive equations, and plot graphs, focusing on linear relationships. The tutorial also introduces the concept of continuous graphs, preparing students for more advanced topics in future lessons.

What is the dependent variable in the scenario where Kai adds two YouTube videos each day?

• Number of days

• Number of YouTube videos

• Number of subscribers

• Number of comments

In the example of Kai's YouTube videos, what is the equation that represents the relationship between the number of days and the number of videos?

• y = x + 2

• y = 2x

• y = x - 2

• y = x / 2

What is the independent variable in the scenario where a sloth travels 5 feet per minute?

• Number of feet

• Number of minutes

• Distance traveled

• Speed of the sloth

What is the first step in creating a graph from a table of values?

• Title the graph

• Draw the line

• Plot the points

• Label the axes

In the sloth travel example, what is the equation that represents the relationship between the number of minutes and the number of feet traveled?

• y = 5x

• y = x + 5

• y = x - 5

• y = 5 / x

Why is it acceptable for the x-axis and y-axis to have different intervals on a graph?

• Because it makes the graph look better

• Because it is easier to plot points

• Because it is a rule in graphing

• As long as the intervals are consistent within each axis

What should you ensure about the intervals on each axis of a graph?

• They should be the same on both axes

• They should increase by 1

• They should increase by 5

• They should be consistent within each axis

In the rectangle example, what is the dependent variable?

• Width

• Perimeter

• Length

• Area

What is the equation that represents the relationship between the width and the length of the rectangle?

• y = x - 4

• y = x / 4

• y = 4x

• y = x + 4

If the width of the rectangle is 3 inches, what is the length?

• 8 inches

• 5 inches

• 7 inches

• 6 inches