Constant of Proportionality Practice

Front

What is the constant of proportionality?

Back

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

Front

True or False: The constant of proportionality is also the unit rate.

Back

True

Front

If y = 30x, what is the constant of proportionality?

Back

k = 30

Front

Identify the constant of proportionality in the equation y = 1.50x.

Back

k = 1.50

Front

What is the unit rate if a car travels 45 miles in 1 hour?

Back

The unit rate is 45 mph.

Front

If Ben drinks 1/2 liter of tea every 2/3 of an hour, how much tea does he drink per hour?

Back

3/4 of a liter per hour.

Front

What does the equation y = kx represent?

Back

It represents a direct variation where y varies directly with x, and k is the constant of proportionality.

Front

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

Back

Divide the y-value by the corresponding x-value for any pair of values.

Front

If k = 2, what is the equation of proportionality?

Back

y = 2x.

Front

What is the relationship between unit rate and constant of proportionality?

Back

The unit rate is the constant of proportionality expressed in terms of one unit of x.