Unit Rates from Ordered Pairs, Tables and Graphs

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' something, such as miles per hour or dollars per item.

Front

How do you find the unit rate from a table?

Back

To find the unit rate from a table, divide the total quantity by the number of units. For example, if a table shows 10 apples for $5, the unit rate is $5 ÷ 10 = $0.50 per apple.

Front

What does a constant of proportionality represent?

Back

The constant of proportionality is the unit rate in a proportional relationship, indicating how much one quantity changes in relation to another.

Front

How can you determine if a relationship is proportional using a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Front

What is the formula to calculate unit rate?

Back

The formula to calculate unit rate is: Unit Rate = Total Quantity ÷ Number of Units.

Front

If 3 pounds of apples cost $3.60, what is the unit rate?

Back

The unit rate is $3.60 ÷ 3 = $1.20 per pound.

Front

What is the unit rate of 150 beats in 1 minute?

Back

The unit rate is 150 beats per minute.

Front

How do you identify the unit rate from a graph?

Back

To identify the unit rate from a graph, find the slope of the line, which represents the change in the y-value for each unit change in the x-value.

Front

What does it mean if a table does not represent a proportional relationship?

Back

If a table does not represent a proportional relationship, it means that the ratios of the quantities are not constant.

Front

What is the unit rate of 5000 miles in 10 hours?

Back

The unit rate is 5000 miles ÷ 10 hours = 500 miles per hour.