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

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and forms a straight line.

Front

If y = 0.2x, what is the constant of proportionality?

Back

0.2

Front

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

Back

A non-proportional relationship does not maintain a constant ratio between the two quantities.

Front

If a table shows values of x and y, how can you find the missing value if the relationship is proportional?

Back

You can use the constant of proportionality to set up a proportion and solve for the missing value.

Front

Solve for q: 3/q = 0.6

Back

q = 5.

Front

If 4 apples cost $2.00, what is the cost of 1 apple?

Back

$0.50.

Front

What is the formula for finding the constant of proportionality from a table of values?

Back

k = y/x, where k is the constant of proportionality.

Front

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

Back

The constant of proportionality is 2/3.

Front

How do you identify proportional relationships in equations?

Back

Proportional relationships can be identified in equations that can be rearranged to the form y = kx.