Ratio, Unit Rate, Rate Conversion, and Proportional

Front

What is a ratio?

Back

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

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per'.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

Divide the total cost by the quantity to find the cost per unit.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate.

Front

What is the constant of proportionality?

Back

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

Front

If 3 apples cost $6, what is the unit rate?

Back

The unit rate is $2 per apple.

Front

How do you convert rates?

Back

To convert rates, you can multiply or divide by a conversion factor that relates the two units.

Front

What does it mean if two quantities are not proportional?

Back

If two quantities are not proportional, their ratio changes as the quantities change.

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

How can you identify a proportional relationship from a graph?

Back

A proportional relationship will show a straight line that passes through the origin (0,0) on a graph.