Understanding Unit Rates and Slopes

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 cost per item.

Front

How do you find the unit rate from an equation?

Back

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between the y-value and the x-value, indicating how much y changes for a unit change in x.

Front

How do you calculate the slope from two points?

Back

Front

Back

The slope of the line is 3, which is the coefficient of x in the equation.

Front

If a table shows the relationship between x and y, how can you determine the unit rate?

Back

To determine the unit rate from a table, divide the y-value by the corresponding x-value for any pair of values.

Front

Back

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

Front

How do you compare unit rates from two different relationships?

Back

Calculate the unit rate for each relationship and compare the values; the higher value indicates the greater unit rate.

Front

What is the unit rate for the relationship represented by the table: x = 1, y = 6; x = 2, y = 12?

Back

Front

What is the significance of a slope of 0 in a graph?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.