Unit Rates from 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 value of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do we calculate the unit rate?

Back

To calculate the unit rate, divide the quantity of one variable by the quantity of the other variable. The formula is y/x.

Front

What does the equation y=mx represent in a graph?

Back

In the equation y=mx, 'm' represents the slope of the line, which is the unit rate, and 'x' is the independent variable.

Front

What is the unit rate for a graph showing 150 miles in 3 hours?

Back

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

Front

What is the significance of the slope in a graph representing a proportional relationship?

Back

The slope of the graph represents the unit rate, indicating how much one variable changes in relation to another.

Front

If a graph shows a line with a slope of 4, what is the unit rate?

Back

The unit rate is 4, meaning for every 1 unit increase in x, y increases by 4.

Front

What is the equation for the proportional relationship shown in the graph y=10x?

Back

This equation indicates that for every 1 unit increase in x, y increases by 10 units.

Front

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

Back

A constant slope indicates a constant unit rate, meaning the relationship between the two variables is proportional.

Front

What is the unit rate if a person earns $200 for 10 hours of work?

Back

The unit rate is $20 per hour, calculated as $200 ÷ 10 hours.

Front

How far can you travel in 8 hours at a speed of 75 mph?

Back

You can travel 600 miles, calculated as 75 mph × 8 hours.