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 is constant.

Front

How can you identify a proportional relationship from a table?

Back

A table represents a proportional relationship if the ratios of corresponding values (y/x) are the same for all pairs.

Front

What is the equation of a proportional relationship?

Back

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

Front

What does the constant of proportionality (k) represent?

Back

The constant of proportionality (k) represents the ratio of y to x in a proportional relationship.

Front

How do you find the constant of proportionality (k)?

Back

To find k, use the formula k = y/x.

Front

What does it mean if an equation does not represent a proportional relationship?

Back

If an equation does not represent a proportional relationship, it means that the ratio of y to x is not constant.

Front

How can you tell if a graph represents 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 does the point (2, 94) represent in a proportional relationship context?

Back

In this context, (2, 94) means that after 2 weeks, they save $94.

Front

What is the difference between direct and inverse proportionality?

Back

In direct proportionality, as one quantity increases, the other also increases. In inverse proportionality, as one quantity increases, the other decreases.

Front

Can a proportional relationship be represented by a non-linear graph?

Back

No, a proportional relationship must be represented by a linear graph that passes through the origin.