Unit Rate Graphs

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a single unit. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the quantity of another item. For example, if you have 10 apples for $5, the unit rate is $5/10 apples = $0.50 per apple.

Front

What does a unit rate graph represent?

Back

A unit rate graph visually represents the relationship between two quantities, showing how one quantity changes in relation to the other. The slope of the line indicates the unit rate.

Front

What is the slope of a line in a unit rate graph?

Back

The slope of a line in a unit rate graph represents the unit rate. It is calculated as the change in the y-value divided by the change in the x-value.

Front

If a graph shows a line with a slope of 2, what is the unit rate?

Back

The unit rate is 2, meaning for every 1 unit increase in the x-value, the y-value increases by 2.

Front

What is the significance of the y-intercept in a unit rate graph?

Back

The y-intercept represents the starting value of the dependent variable when the independent variable is zero.

Front

How can you identify a unit rate from a graph?

Back

You can identify a unit rate from a graph by finding the slope of the line, which indicates how much the dependent variable changes for each unit change in the independent variable.

Front

What is the unit rate if a car travels 150 miles in 3 hours?

Back

The unit rate is 50 miles per hour, calculated as 150 miles / 3 hours.

Front

What does it mean if a unit rate is expressed as '5 feet per second'?

Back

It means that for every second that passes, the object moves 5 feet.

Front

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

Back

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