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 find the constant of proportionality?

Back

You can find the constant of proportionality by calculating the unit rate, which is the ratio of the change in y to the change in x.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' unit.

Front

If y = 18.50x, what is the constant of proportionality?

Back

The constant of proportionality is 18.50.

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

Front

If a box of cereal costs $3.59 for 30 oz, what is the unit rate per ounce?

Back

The unit rate per ounce is 12 cents.

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship is typically in the form y = kx, where k is the constant of proportionality.

Front

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

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between x and y.

Front

If the constant of proportionality is 0.2, what does this indicate?

Back

This indicates that for every 1 unit increase in x, y increases by 0.2 units.

Front

What is the relationship between ratios and the constant of proportionality?

Back

The constant of proportionality is the ratio of y to x in a proportional relationship.