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

If the constant of proportionality is k = 45, what does it mean in terms of distance and time?

Back

It means that for every 1 hour, the object travels 45 miles.

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 1 unit of another quantity.

Front

How do you determine if a table of values is proportional?

Back

A table is proportional if the ratios of the corresponding values are constant.

Front

If x = 6 and y = 126, what is the constant of proportionality?

Back

The constant of proportionality k = y/x = 126/6 = 21.

Front

What does it mean if a graph shows a straight line through the origin?

Back

It indicates that the relationship between the two variables is proportional.

Front

If a person earns $100 for each hour worked, what is their unit rate?

Back

The unit rate is $100 per hour.

Front

What is the relationship between the constant of proportionality and slope in a graph?

Back

The constant of proportionality is equal to the slope of the line in a proportional relationship.

Front

If a table shows (2, 4), (4, 8), (6, 12), is it proportional?

Back

Yes, because the ratios (y/x) are constant (2).

Front

What is the unit rate if a car travels 300 miles in 5 hours?

Back

The unit rate is 60 miles per hour.