Unit Rate & Proportional Relationships

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity.

Front

Define constant of proportionality.

Back

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

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate from a ratio, divide the first quantity by the second quantity to express it as a quantity per one unit of the second quantity.

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

Calculate the unit rate: 60 miles in 3 hours.

Back

The unit rate is 20 miles per hour.

Front

What is the formula for finding the constant of proportionality?

Back

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

Front

If a recipe requires 4 cups of flour for 2 cups of sugar, what is the unit rate of flour to sugar?

Back

The unit rate is 2 cups of flour per cup of sugar.

Front

What is the slope of a line in a graph?

Back

The slope of a line represents the rate of change between the y and x values, indicating how much y changes for a change in x.

Front

If a snail moves 3/10 of a meter every 1/12 hour, what is its speed in meters per hour?

Back