Exploring Proportional Relationships

What defines a proportional relationship between two quantities?

• They are unrelated.

• They vary exponentially with each other.

• They vary directly with each other.

• They vary inversely with each other.

What is essential for a graph to show a proportional relationship?

• It must be a curved line.

• It must pass through the point (1,1).

• It must be a straight line that goes through the origin.

• It must have a varying slope.

Which of the following is NOT a characteristic of proportional relationships?

• Linear graph

• Constant slope

• Passing through the origin

• Curved graph

How do you verify a proportional relationship using a table?

• Ensure the sum of X and Y values increases linearly.

• Ensure the ratio of Y to X is constant.

• Ensure the difference between all X values is constant.

• Ensure all Y values are the same.

How can you determine the constant of proportionality from a table?

• By adding the X and Y values.

• By dividing the Y value by the X value.

• By multiplying the X and Y values.

• By subtracting the Y value from the X value.

What does the constant of proportionality represent in a graph?

• The X-intercept

• The maximum value of Y

• The slope of the line

• The area under the graph

In a proportional relationship, if X increases by 1 and Y increases by 5, what is the constant of proportionality?

• 10

• 0.2

• 5

• 1

If a graph is linear but does not go through the origin, is it proportional?

• No, unless it is a horizontal line.

• Yes, always.

• No, it must also go through the origin.

• Yes, if it has a constant slope.

What is the constant of proportionality if a graph shows that for every increase of 2 in X, Y increases by 10?

• 2

• 5

• 10

• 20

What does it mean if a graph of a relationship is not linear?

• It is proportional if the slope is constant.

• It can still be proportional if it passes through the origin.

• It is only proportional if it is a vertical line.

• It is not proportional.