Constant of Proportionality Tables

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, defined as the ratio of one quantity to another.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values in the table are constant.

Front

What is the equation of a proportional relationship?

Back

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

Front

What does it mean if a graph represents a proportional relationship?

Back

If a graph represents a proportional relationship, it will be a straight line that passes through the origin (0,0).

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What is the significance of the constant of proportionality in real-world applications?

Back

The constant of proportionality helps to understand the relationship between two quantities, allowing for predictions and calculations in real-world scenarios.

Front

What are some examples of proportional relationships in everyday life?

Back

Examples include speed (distance/time), density (mass/volume), and unit pricing (cost/quantity).

Front

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

Back

It means that as one quantity increases, the other quantity increases at a constant rate, maintaining a consistent ratio.

Front

How can you determine if a table does not represent a proportional relationship?

Back

If the ratios of corresponding values in the table are not constant, then the table does not represent a proportional relationship.

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

In a graph of a proportional relationship, the slope of the line is equal to the constant of proportionality.