Math TEKS 8.4B

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How do you calculate the constant of proportionality from a given scenario?

Back

To find the constant of proportionality, divide the dependent variable by the independent variable. For example, if Craig earns $64.75 for 7 hours, the constant is $64.75 / 7 = $9.25.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship between the variables.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship occurs when the ratio between two quantities is not constant.

Front

How can you determine 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.

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where 'y' is the dependent variable and 'x' is the independent variable.

Front

If a graph intersects the y-axis, does it indicate a proportional relationship?

Back

No, a graph that intersects the y-axis but does not pass through the origin is non-proportional.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of the dependent variable when the independent variable is zero.

Front

How do you interpret the slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant of proportionality.