Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, defined by the equation y = kx.

Front

How can you identify the constant of proportionality from a graph?

Back

The constant of proportionality can be identified as the slope of the line in a graph representing a proportional relationship.

Front

What does a constant of proportionality of 1 indicate?

Back

A constant of proportionality of 1 indicates that the two quantities are equal; for every unit increase in one quantity, the other quantity increases by the same amount.

Front

If the constant of proportionality is 10, what does this mean in a practical context?

Back

If the constant of proportionality is 10, it means that for every unit increase in the independent variable, the dependent variable increases by 10 units.

Front

What is the relationship between the constant of proportionality and direct variation?

Back

In direct variation, the constant of proportionality is the factor by which one variable is multiplied to obtain the other variable.

Front

How do you determine the constant of proportionality from a table of values?

Back

To determine the constant of proportionality from a table, divide the value of the dependent variable by the value of the independent variable for any pair of corresponding values.

Front

What does it mean if a graph does not pass through the origin in relation to proportionality?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional, as proportional relationships must pass through the origin (0,0).

Front

What is the significance of a constant of proportionality of 0.20?

Back

A constant of proportionality of 0.20 indicates that for every unit increase in the independent variable, the dependent variable increases by 0.20 units.

Front

Can the constant of proportionality be negative?

Back

Yes, the constant of proportionality can be negative, indicating an inverse relationship where one variable decreases as the other increases.

Front

What is the formula for finding the constant of proportionality in a linear equation?

Back

The formula for finding the constant of proportionality in a linear equation is k = y/x, where y is the dependent variable and x is the independent variable.