Understanding Proportional Relationships in Paint Mixing

The video tutorial explains the relationship between red and blue paint using a tape diagram, showing a 4:3 ratio. It demonstrates how to graph these ratios on a coordinate plane, with red on the x-axis and blue on the y-axis. The tutorial confirms the relationship is proportional, as the ratio remains constant and the graph is a line through the origin. It further explains proportionality by verifying calculations and emphasizing that a proportional relationship must be linear and pass through the origin.

What is the ratio of red to blue paint needed for the Plummy Purple paint mix?

• 5 to 4

• 3 to 4

• 4 to 3

• 2 to 3

If the ratio of blue to red is 3 to 4, what is the ratio of red to blue?

• 3 to 4

• 4 to 3

• 2 to 3

• 5 to 4

If the x-axis represents red paint cans, what does the y-axis represent?

• Yellow paint cans

• Green paint cans

• Purple paint cans

• Blue paint cans

What are the corresponding values of x and y if you have 8 parts red paint?

• 4 parts blue

• 6 parts blue

• 10 parts blue

• 8 parts blue

How can you determine if a relationship is proportional?

• If the graph is a zigzag

• If the ratio is always different

• If the ratio is always the same

• If the graph is a curve

What is a key characteristic of a proportional relationship on a graph?

• It forms a triangle

• It forms a line through the origin

• It forms a circle

• It forms a square

Why does a proportional relationship pass through the origin?

• Because it forms a square

• Because it forms a triangle

• Because 0 times any number is 0

• Because it forms a circle

What happens to the amount of blue paint if you have 0 red paint?

• It becomes 0

• It becomes 1

• It becomes 3

• It becomes 4

What is the result of multiplying both sides of the ratio by the number of red paint cans?

• The amount of blue is double the red

• The amount of blue is equal to red

• The amount of blue is 1/2 of red

• The amount of blue is 3/4 of red

What does it mean if a relationship is not linear?

• It is not proportional

• It forms a square

• It forms a circle

• It is always proportional