Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if it passes through the origin (0,0) and the ratio of the two quantities remains constant.

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 one unit of another quantity.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide the first quantity by the second quantity.

Front

What does it mean if a table of values is proportional?

Back

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

Front

If a painting is 2 in tall and 3 in wide, what is the height when the width is enlarged to 15 in?

Back

10 in (using the ratio 2:3 to find the new height).

Front

What is the formula to find the constant of proportionality from a table?

Back

The constant of proportionality can be found by dividing the dependent variable by the independent variable for any pair of values.

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the line representing the relationship will always pass through the origin (0,0), indicating that when one quantity is zero, the other is also zero.