Proportional: Graphs, Tables, Equations

Front

What is the constant of proportionality (k) in a proportional relationship?

Back

The constant of proportionality (k) is the ratio of y to x in a proportional relationship, represented as y = kx.

Front

What does it mean for a relationship to be proportional?

Back

A proportional relationship means that as one quantity changes, the other quantity changes at a constant rate, and the graph of the relationship is a straight line that passes through the origin.

Front

What is the equation form of a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What are the two requirements for a graph to be proportional?

Back

The graph must be a straight line and must pass through the origin.

Front

How can you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship does not pass through the origin and may have a different slope.

Front

If k = -0.45, what does this indicate about the relationship between y and x?

Back

It indicates that y decreases as x increases, showing an inverse relationship.

Front

What type of relationship is represented by the equation y = 3x + 5?

Back

This is a non-proportional relationship because it does not pass through the origin.

Front

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

Back

An example is the cost of apples at a store where each apple costs the same amount, leading to a straight line graph through the origin.

Front

What does it mean if a relationship is described as non-proportional?

Back

It means that the relationship does not maintain a constant ratio between the two quantities.

Front

What is the significance of the origin in proportional relationships?

Back

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