Proportional Relationships in Tables, Graphs, and Equations

What is a proportional relationship?

• A relationship where one quantity is always greater than the other.

• A relationship between two quantities where the ratio of one quantity to the other quantity is constant.

• A relationship that changes over time and is not consistent.

• A relationship that only applies to whole numbers.

Tags

CCSS.7.RP.A.2A

How can you identify a proportional relationship in a table?

• If the values in the table are all whole numbers.

• If the ratios of corresponding values are the same for all pairs.

• If the table contains only positive numbers.

• If the values increase by the same amount each time.

Tags

CCSS.7.RP.A.2D

How can you use a graph to compare two proportional relationships?

• By plotting both on the same axes and observing their slopes.

• By using different colors for each relationship without any axes.

• By calculating the area under each curve separately.

• By drawing a line that connects the two relationships without any measurements.

Tags

CCSS.7.RP.A.2D

What does the slope of a graph represent in a proportional relationship?

• The slope represents the total distance between the two variables.

• The slope indicates the maximum value of the dependent variable.

• The slope of a graph in a proportional relationship represents the constant rate of change between the two variables.

• The slope shows the average of the two variables over time.

Tags

CCSS.8.EE.B.5

How can you tell if a graph represents a proportional relationship?

• A graph is a straight line that passes through the origin.

• A graph has a curved line that does not pass through the origin.

• A graph has points that are all in the first quadrant.

• A graph is a straight line that does not pass through the origin.

Tags

CCSS.7.RP.A.2D

What is the relationship between the rates of change in a proportional relationship?

• The rates of change are variable and can change over time.

• In a proportional relationship, the rates of change are constant and can be expressed as a ratio.

• The rates of change are always increasing and never decreasing.

• The rates of change are unrelated to each other.

Tags

CCSS.7.RP.A.2D

How do you solve for an unknown in a proportional relationship?

• Set up a proportion and cross-multiply to find the missing value.

• Add the known values together to find the unknown.

• Subtract the known value from the total to find the unknown.

• Multiply the known value by a constant to find the unknown.

Tags

CCSS.7.RP.A.2C

How can you represent a proportional relationship using a word problem?

• By describing a scenario where two quantities increase or decrease at the same rate.

• By stating that one quantity is always greater than the other.

• By using random numbers without any context.

• By mentioning only one quantity without any relation to another.

Tags

CCSS.7.RP.A.2C

What is the importance of understanding proportional relationships in real life?

• It helps in making predictions, budgeting, and understanding rates and ratios in various contexts.

• It is only useful in mathematical calculations and has no real-life application.

• It is important for memorizing formulas and equations.

• It is primarily used in scientific experiments and has limited relevance outside of that.

Tags

CCSS.7.RP.A.2B

What is the difference between proportional and non-proportional relationships?

• Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.

• Proportional relationships are always greater than non-proportional relationships.

• Non-proportional relationships have a constant ratio, while proportional relationships do not.

• Proportional relationships can vary, while non-proportional relationships are fixed.

Tags

CCSS.7.RP.A.2D