7th grade Proportional Relationships

Front

What is a proportional relationship?

Back

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

Front

What does it mean for a graph to represent a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

If Ronald reads p pages per minute, how many pages does he read in m minutes?

Back

N = pm, where N is the total number of pages.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities.

Front

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

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What does the point (20, 30) represent in a graph of Kathleen's payments?

Back

If Kathleen pays $20, the insurance pays $30.

Front

What is the formula to find the total cost t for n pounds of apples if 11 pounds cost $40.59?

Back

t = $3.69n.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.

Front

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

Back

An example is the relationship between distance and time when traveling at a constant speed.