Proportional Relationships in Tables, Graphs, and Equations

If the number of jelly beans is directly proportional to the amount of money spent, what does this imply?

• The number of jelly beans remains constant regardless of the money spent.

• As the amount of money spent increases, the number of jelly beans received also increases at a constant rate.

• The number of jelly beans decreases as more money is spent.

• The relationship between jelly beans and money spent is random.

Tags

CCSS.7.RP.A.2D

How do you find the unit rate from a table?

• Multiply the values of both quantities together.

• Divide the value of one quantity by the corresponding value of the other quantity to see if the ratio is constant.

• Add the values of both quantities together.

• Subtract the value of one quantity from the other.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the significance of the origin in proportional relationships?

• It indicates that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.

• It shows the maximum value of the relationship between two quantities.

• It represents the point where the two quantities are equal regardless of their values.

• It is the point where the relationship becomes undefined.

Tags

CCSS.7.RP.A.2D

What does it mean if a relationship is not proportional?

• A relationship is not proportional if the ratios are not constant or if the graph does not pass through the origin.

• A relationship is not proportional if the ratios are constant and the graph passes through the origin.

• A relationship is not proportional if it is linear and has a slope of zero.

• A relationship is not proportional if it can be represented by a straight line on a graph.

Tags

CCSS.7.RP.A.2D

How can you identify a non-proportional table?

• A non-proportional table can be identified if the ratios of the values are not the same.

• A non-proportional table always includes the origin (0,0).

• A non-proportional table has equal ratios for all values.

• A non-proportional table can be identified if the ratios of the values are not the same or if the table does not include the origin (0,0).

Tags

CCSS.7.RP.A.2A

What is the difference between direct and inverse proportionality?

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

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

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

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

Tags

CCSS.7.RP.A.2D

What is a real-world example of a non-proportional relationship?

• A flat fee for a service, such as a monthly subscription, where the cost does not change with usage.

• The cost of gasoline, which increases with the amount purchased.

• The price of a concert ticket, which varies based on the seat location.

• The cost of a meal at a restaurant, which depends on the number of items ordered.

Tags

CCSS.7.RP.A.2A

What does it mean for a graph to not represent a proportional relationship?

• It means that the graph does not form a straight line through the origin, indicating that the relationship is not constant.

• It means that the graph has a positive slope and passes through the origin.

• It means that the graph is a horizontal line, indicating a constant relationship.

• It means that the graph represents a linear relationship with a negative slope.

Tags

CCSS.7.RP.A.2D

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

• A graph represents a proportional relationship if it is a straight line that passes through the origin.

• A graph represents a proportional relationship if it is a curved line.

• A graph represents a proportional relationship if it has a positive slope only.

• A graph represents a proportional relationship if it intersects the y-axis at a non-zero value.

Tags

CCSS.7.RP.A.2D

What is a unit rate?

• A ratio that compares a quantity to one unit of another quantity.

• A measurement of speed in miles per hour.

• A comparison of two different quantities without a common unit.

• A method for calculating percentages.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2