Constant of Proportionality

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

What makes a graph proportional?

Back

A graph is proportional if it is a straight line (linear) that goes through the origin (0,0).

Front

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

Back

Divide the output value (y) by the input value (x) for any pair of values. If the ratio is constant, that value is the constant of proportionality.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If a recipe requires 3 cups of flour for every 2 cups of sugar, what is the constant of proportionality?

Back

The constant of proportionality is 1.5, since 3 cups of flour divided by 2 cups of sugar equals 1.5.

Front

What is the unit rate if you travel 150 miles in 3 hours?

Back

The unit rate is 50 miles per hour.

Front

If the constant of proportionality is 4, what is the output when the input is 5?

Back

The output is 20, since 4 (constant) multiplied by 5 (input) equals 20.

Front

What does it mean if a graph is non-proportional?

Back

A graph is non-proportional if it does not represent a constant ratio between the two variables, often indicated by a line that does not pass through the origin.

Front

How can you determine if a relationship is proportional from a set of points?

Back

If the ratio of y to x is the same for all points, the relationship is proportional.

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the output, and x is the input.