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 indicates how one quantity changes in relation to another.

Front

If Craig earns $37 for 4 hours, what is his hourly rate?

Back

$9.25 per hour.

Front

If Craig earns $64.75 for 7 hours, what is his hourly rate?

Back

$9.25 per hour.

Front

What is the formula to find the constant of proportionality?

Back

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

Front

The Williams family bought four concert tickets for $252. What is the price per ticket?

Back

$63.00 per ticket.

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 it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

What is an example of a proportional relationship in real life?

Back

The relationship between distance and time when driving at a constant speed.

Front

If k = 1.50, what does this indicate about the relationship between the two quantities?

Back

It indicates that for every unit increase in the independent variable, the dependent variable increases by 1.50 units.

Front

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

Back

Check if the ratio of y to x is constant for all pairs of values.