Graphing Proportional Relationships

What is the slope of a proportional relationship graph?

• The slope is always zero.

• The slope is equal to the constant of proportionality.

• The slope is equal to the y-intercept.

• The slope is the ratio of the change in y to the change in x.

Tags

CCSS.8.EE.B.5

If y = kx, what does 'k' represent?

• The variable x

• The slope of the line

• The constant of proportionality

• The value of y when x is zero

Tags

CCSS.HSF-LE.A.1B

What is the constant of proportionality?

• The constant ratio between two proportional quantities, often represented as 'k'.

• A variable that changes with the input value.

• The maximum value in a set of data.

• A fixed number that does not change.

Tags

CCSS.7.RP.A.2B

What is the difference between direct and inverse proportionality?

• Direct proportionality means as one quantity increases, the other increases; inverse proportionality means as one quantity increases, the other decreases.

• Direct proportionality means as one quantity decreases, the other increases; inverse proportionality means as one quantity increases, the other remains constant.

• Direct proportionality means both quantities increase together; inverse proportionality means both quantities decrease together.

• Direct proportionality means one quantity is always double the other; inverse proportionality means one quantity is always half of the other.

What happens to the graph of a proportional relationship if the constant of proportionality is negative?

• The graph will slope upwards from left to right.

• The graph will remain horizontal.

• The graph will slope downwards from left to right.

• The graph will be a vertical line.

Tags

CCSS.8.EE.B.5

What does it mean if a graph does not pass through the origin?

• It indicates a proportional relationship.

• It indicates a linear relationship.

• It indicates a non-proportional relationship.

• It indicates a quadratic relationship.

Tags

CCSS.7.RP.A.2D

How can you represent a proportional relationship using a table?

• By showing pairs of values where the ratio of y to x remains constant.

• By listing random pairs of values without any specific relationship.

• By displaying only the x values in the table.

• By using a graph instead of a table.

Tags

CCSS.7.RP.A.2B

Can a graph be proportional if it has a slope of zero?

• Yes, a graph with a slope of zero can be proportional.

• No, a graph with a slope of zero is horizontal and represents a constant value, not a proportional relationship.

• A graph with a slope of zero can represent a proportional relationship if it passes through the origin.

• Graphs with a slope of zero are always proportional regardless of their position.

Tags

CCSS.8.EE.B.5

How do you determine if a set of points represents a proportional relationship?

• Check if the ratios of the y-values to the x-values are constant.

• Ensure that all x-values are equal.

• Verify that all y-values are equal.

• Calculate the average of the x-values and y-values.

Tags

CCSS.7.RP.A.2D

What is an example of a proportional relationship in real life?

• The relationship between distance and time when traveling at a constant speed.

• The relationship between the number of hours worked and the amount of money earned, with varying pay rates.

• The relationship between the temperature and the volume of a gas at constant pressure.

• The relationship between the number of students in a class and the amount of homework assigned.

Tags

CCSS.7.RP.A.2A