Unit Rates from 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 find a unit rate from a graph?

Back

To find a unit rate from a graph, identify the change in the vertical axis (y) and the change in the horizontal axis (x). Divide the change in y by the change in x.

Front

What does a proportional relationship look like on a graph?

Back

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

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope of a line represents the unit rate, indicating how much y changes for a one-unit increase in x.

Front

If a graph shows a line with a slope of 10, what is the unit rate?

Back

The unit rate is 10, meaning for every 1 unit increase in x, y increases by 10.

Front

How can you determine if a graph is proportional?

Back

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

Front

What is the significance of the y-intercept in a proportional relationship?

Back

In a proportional relationship, the y-intercept is always 0, indicating that when x is 0, y is also 0.

Front

How do you write an equation from a graph?

Back

To write an equation from a graph, determine the slope (rise over run) and the y-intercept, then use the slope-intercept form y = mx + b.

Front

What is the unit rate if you travel 300 miles in 6 hours?

Back

The unit rate is 50 miles per hour (300 miles ÷ 6 hours = 50 miles/hour).