Proportional vs Non-Proportional Graphs Explained

The video tutorial covers the concepts of proportional and non-proportional graphs, emphasizing that proportional graphs must be straight lines passing through the origin. It reviews unit rates, explaining how to identify them on a graph. The tutorial also explores proportional relationships in exercise routines, using jogging as an example. Finally, it guides students through graphing data points and analyzing whether they form proportional relationships.

What is a key characteristic of a proportional graph?

• It does not intersect the axes.

• It passes through the origin.

• It forms a curve.

• It has multiple lines.

Which of the following is true for a non-proportional graph?

• It passes through the origin.

• It forms a straight line.

• It has a constant slope.

• It does not pass through the origin.

How can you determine if the relationship between the number of heartbeats and time is proportional?

• By checking if the graph forms a curve.

• By checking if the graph is a straight line and passes through the origin.

• By counting the number of points on the graph.

• By checking if the graph intersects the y-axis.

What does the point (1, 2) represent in the context of heartbeats and time?

• 1 heartbeat in 2 seconds

• 2 heartbeats in 1 second

• 1 heartbeat in 1 second

• 2 heartbeats in 2 seconds

Which ordered pair represents the unit rate in the given graph?

• (3, 6)

• (0, 0)

• (2, 4)

• (1, 2)

Which exercise routine represents a proportional relationship?

• Both routines

• Samora's routine

• Neither routine

• Charlie's routine

What is the first step in determining if a relationship is proportional using a table of values?

• Plotting the points on a graph

• Checking if the values are increasing

• Calculating the slope

• Listing the ordered pairs

What should you do after plotting the points to check if they form a straight line?

• Draw a curve through the points

• Check if the points are above the x-axis

• Use a ruler to connect the points

• Count the number of points

In the babysitting money example, what does the point (2, 10) represent?

• 10 hours of babysitting for $20

• 10 hours of babysitting for $2

• 2 hours of babysitting for $5

• 2 hours of babysitting for $10

What conclusion can be drawn if a graph is a straight line and passes through the origin?

• The relationship is non-proportional.

• The points are not plotted correctly.

• The graph is incorrect.

• The relationship is proportional.