Exploring Graphs of Proportional Relationships

What is the origin in a coordinate plane?

• The highest point on the y-axis

• The lowest point on the x-axis

• The point where x-axis intersects y=1

• The point where x-axis and y-axis meet

Which type of graph typically represents a proportional relationship?

• A straight line through the origin

• A horizontal line

• A straight line not passing through the origin

• A curved line through the origin

What does a straight line through the origin in a graph indicate?

• Non-proportional relationship

• Undefined relationship

• Proportional relationship

• Negative relationship

If a graph of a relationship is a curved line through the origin, what does it represent?

• Direct variation

• Proportional relationship

• Non-proportional relationship

• Linear relationship

Which statement is true about proportional relationships?

• They have a varying ratio of y to x

• They are represented by a straight line passing through the origin

• They are represented by a straight line not passing through the origin

• They can be represented by a curved line through the origin

In the lemonade recipe, what does 'x' represent?

• Number of cups of lemon juice

• Number of cups of water

• Total amount of ingredients

• Ratio of lemon juice to water

In the context of the lemonade recipe, if you double the cups of water, what happens to the cups of lemon juice?

• It remains the same

• It halves

• It doubles

• It quadruples

What indicates a proportional relationship in a table?

• Constant sum of values

• Constant product of values

• Constant ratio of values

• Increasing difference of values

What is the constant of proportionality in a proportional relationship?

• The sum of all x-values

• The difference between y-values

• The ratio of y to x when constant

• The product of x and y

Which scenario describes a proportional relationship?

• A turtle moves then stops intermittently

• A turtle changes direction frequently

• A turtle moves at a constant rate

• A turtle moves a different distance each minute