Understanding Proportional Relationships

This lesson covers interpreting graphs of proportional relationships, focusing on the constant of proportionality. It explains how to identify and calculate the constant using tables and graphs, with examples involving snails and cinnamon-yogurt mixtures. The lesson emphasizes understanding the relationship between x and y values and how to interpret these in real-world contexts.

What is the constant of proportionality if for every 1 unit of x, there are 5/4 units of y?

• 4/5

• 5/4

• 1/5

• 5

How do you find the constant of proportionality from a table of values?

• Multiply x by y

• Divide y by x

• Subtract x from y

• Add x and y

In the equation y = kx, what does 'k' represent?

• The x-intercept

• The constant of proportionality

• The y-intercept

• The slope

If a snail crawls 5 feet in 4 minutes, what is its speed in feet per minute?

• 2 feet per minute

• 4 feet per minute

• 5 feet per minute

• 1.25 feet per minute

How many cups of yogurt are used per teaspoon of cinnamon if the ratio is 5 cups to 4 teaspoons?

• 1 cup

• 1.25 cups

• 2 cups

• 0.8 cups

What is the constant of proportionality in the cinnamon and yogurt example?

• 4/5

• 5

• 5/4

• 1/4

When x is 1, what does the y-coordinate represent in a proportional relationship graph?

• The slope

• The constant of proportionality

• The y-intercept

• The x-intercept

If a graph passes through the origin and has a constant ratio, what type of relationship does it represent?

• Quadratic

• Proportional

• Exponential

• Linear

What is the y-coordinate when x is 2, given the constant of proportionality is 5/4?

• 5/4

• 2

• 5/2

• 10/4

If the constant of proportionality is 5/4, what is the y-coordinate when x is 4?

• 20

• 15

• 5

• 10