Unit Rate from 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 'x per 1 unit'.

Front

How do you find the unit rate from a graph?

Back

To find the unit rate from a graph, identify the values represented on the axes, determine the ratio of the quantities, and simplify it to a per unit basis.

Front

What does the slope of a line in a graph represent in terms of unit rate?

Back

The slope of a line in a graph represents the unit rate, indicating how much of one quantity corresponds to one unit of another quantity.

Front

If a graph shows 30 students in 2 classrooms, what is the unit rate of students per classroom?

Back

The unit rate is 15 students per classroom (30 students ÷ 2 classrooms).

Front

In a graph showing 8 pounds of apples for $32, what is the unit rate per pound?

Back

The unit rate is $4.00 per pound ($32 ÷ 8 pounds).

Front

What is the unit rate if a car travels 120 miles using 3 gallons of gas?

Back

The unit rate is 40 miles per gallon (120 miles ÷ 3 gallons).

Front

How can you express a unit rate in different units?

Back

You can express a unit rate in different units by converting the quantities involved, ensuring the ratio remains equivalent.

Front

What is the importance of unit rates in real-life applications?

Back

Unit rates help compare costs, speeds, and efficiencies, making it easier to make informed decisions in everyday situations.

Front

If a box contains 24 crayons and costs $12, what is the unit rate of crayons per dollar?

Back

The unit rate is 2 crayons per dollar (24 crayons ÷ $12).

Front

How do you interpret a graph that shows a constant slope?

Back

A constant slope indicates a consistent unit rate, meaning the relationship between the two quantities remains the same throughout.