Exploring Proportional Graphs in Math 7

The video tutorial covers the basics of proportional graphs, using examples like Pac-Man to explain graphing proportional relationships. It discusses how to interpret graphs and tables, identify proportional graphs, and calculate the constant of proportionality. The tutorial also distinguishes between proportional and non-proportional graphs, emphasizing the importance of a straight line through the origin.

What is the x-axis used for in a graph?

• Plotting vertical points

• Plotting horizontal points

• Showing the slope

• Indicating the origin

What are the coordinates of the origin in a graph?

• (y,x)

• (x,y)

• (0,0)

• (1,1)

In the Pac-Man example, how far does Pac-Man travel in 6 seconds?

• 6 feet

• 3 feet

• 9 feet

• 18 feet

What does the point (3,9) represent in the Pac-Man example?

• Pac-Man travels 3 feet in 9 seconds

• Pac-Man travels 9 feet in 3 seconds

• Pac-Man travels 9 feet in 9 seconds

• Pac-Man travels 3 feet in 3 seconds

What are the two key characteristics of a proportional graph?

• It is a curved line and does not go through the origin

• It is a straight line and does not go through the origin

• It is a curved line and goes through the origin

• It is a straight line and goes through the origin

How do you find the constant of proportionality (k) in a graph?

• Divide x by y

• Multiply x and y

• Subtract x from y

• Divide y by x

If a graph does not pass through the origin, is it proportional?

• Sometimes

• Yes, always

• No, never

• Only if it is a straight line

What does a straight line in a graph indicate about the relationship between variables?

• The relationship is inverse

• The relationship is exponential

• The relationship is proportional

• The relationship is non-linear

In the example of ticket sales, if 5 tickets cost $40, what is the cost per ticket?

• $5

• $12

• $8

• $10

What is the constant of proportionality if the points (15,10) and (45,30) are on the graph?

• 1.5

• 2

• 3

• 4.5