Constant of Proportionality Review

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 do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

Front

If a cab ride costs $15 for 5 miles, what is the cost per mile?

Back

$3.00 per mile.

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, meaning their ratio remains constant.

Front

What is the equation of a proportional relationship?

Back

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

Front

If the cost of 10 bananas is $2.50, what is the cost of one banana?

Back

$0.25 per banana.

Front

How can you tell if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

What is an example of a non-proportional relationship?

Back

A relationship where the ratio between two quantities changes, such as a flat fee plus a variable cost.

Front

If a pack of pens costs $4.00 for 8 pens, what is the cost per pen?

Back

$0.50 per pen.

Front

What is the significance of the slope in a graph of a proportional relationship?

Back

The slope represents the constant of proportionality, indicating how much one quantity changes in relation to another.