Constant of Proportionality Practice

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It remains constant as the values change.

Front

If y is directly proportional to x, how can you express this relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if two quantities increase or decrease at the same rate, maintaining a constant ratio.

Front

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

Back

Divide the value of y by the corresponding value of x for any pair of values. If the ratio is constant, that value is k.

Front

If a car travels 90 miles in 2 hours, what is the constant of proportionality (speed)?

Back

45 mph.

Front

What is the price per ticket if 4 tickets cost $252?

Back

$63.00 per ticket.

Front

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

Back

3/4 of a liter per hour.

Front

What is the formula to calculate the constant of proportionality?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

Which of the following represents a proportional relationship: (1,2), (2,4), (3,6)?

Back

All pairs represent a proportional relationship because they maintain the same ratio (k=2).

Front

If the constant of proportionality is 2, what is the value of y when x = 5?

Back

y = 2 * 5 = 10.