11/9: Math 7 Unit Rates & Constant of Proportionality Review

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 if a graph passes through the origin?

Back

If a graph passes through the origin, it indicates that when the independent variable (x) is zero, the dependent variable (y) is also zero, which is a characteristic of proportional relationships.

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant ratio between two proportional quantities, often represented in the equation y = kx.

Front

How do you identify a proportional graph?

Back

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

Front

What does the point (3, 6) represent in a proportional relationship?

Back

The point (3, 6) means that for every 3 units of x, there are 6 units of y, indicating a rate of 2 (6/3).

Front

What is the equation of a proportional relationship if k = 13?

Back

The equation is y = 13x.

Front

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

Back

Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not have a constant ratio and may not pass through the origin.

Front

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

Back

A table represents a proportional relationship if the ratios of y to x are constant for all pairs of values.

Front

What does it mean if a graph is a straight line but does not pass through the origin?

Back

It means that the relationship is not proportional, as it does not maintain a constant ratio starting from zero.

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.