Unit Rates from Ordered Pairs, Tables and Graphs

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate a unit rate from a ratio?

Back

To calculate a unit rate from a ratio, divide the first quantity by the second quantity to find the amount per one unit of the second quantity.

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

If a graph shows a line, what does the slope represent?

Back

The slope of a line in a graph represents the unit rate, indicating how much the dependent variable changes for each unit change in the independent variable.

Front

What is the formula to find the unit rate from a table of values?

Back

To find the unit rate from a table, divide the value of the dependent variable by the value of the independent variable for each pair.

Front

How can you find the unit rate from a graph?

Back

To find the unit rate from a graph, determine the slope of the line, which is calculated as the change in the y-values divided by the change in the x-values.

Front

What does a steeper line on a graph indicate about the unit rate?

Back

A steeper line on a graph indicates a higher unit rate, meaning that the dependent variable increases more rapidly with respect to the independent variable.

Front

If you have 5000 beats in 10 minutes, what is the unit rate in beats per minute?

Back

The unit rate is 5000 ÷ 10 = 500 beats per minute.

Front

What is the relationship between unit rates and proportional relationships?

Back

In a proportional relationship, the unit rate remains constant, meaning that as one quantity increases, the other quantity increases at a consistent rate.

Front

How do you interpret the unit rate in a real-world context?

Back

The unit rate can be interpreted as the cost per item, speed per hour, or any other measure that compares two quantities in a meaningful way.