(11) Graphs of Proportional Relationships (7th)

Front

What is the constant ratio or constant of proportionality?

Back

The constant ratio or constant of proportionality is the ratio between two quantities that remain constant in a proportional relationship. It can be found by dividing one quantity by the other.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit. It represents how much of one quantity corresponds to one unit of another quantity.

Front

How can the constant of proportionality be found?

Back

The constant of proportionality can be found by calculating the unit rate, which is the ratio of the two quantities.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, and the graph does not pass through the origin.

Front

If a submarine's depth increases at a rate of 3 meters per second, what does this mean?

Back

It means that for every second that passes, the submarine's depth increases by 3 meters.

Front

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

Back

Proportional relationships have a constant ratio and graph as a straight line through the origin, while non-proportional relationships do not have a constant ratio and do not pass through the origin.

Front

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

Back

To determine if a graph represents a proportional relationship, check if it is a straight line that passes through the origin.

Front

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

Back

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

Front

What is the formula for finding the constant of proportionality?

Back

The formula for finding the constant of proportionality (k) is k = y/x, where y is the dependent variable and x is the independent variable.