4.1.2 Using Tables, Graphs, and Equations Proportional Rel.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the output value by the input value for any pair of corresponding values.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you calculate the unit rate from a graph?

Back

To calculate the unit rate from a graph, find the slope of the line, which represents the change in the y-value for each unit change in the x-value.

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 formula for finding the unit rate?

Back

The formula for finding the unit rate is: Unit Rate = Total Quantity / Number of Units.

Front

If a table shows 9 apples for $1, what is the unit rate?

Back

The unit rate is 1 apple for $0.11 (1/9 dollars per apple).

Front

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

Back

The slope in a proportional relationship represents the constant of proportionality, indicating how much one quantity changes in relation to another.

Front

How can you verify if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equivalent or if the graph of their relationship is a straight line through the origin.

Front

What is the unit rate for 120 miles in 2 hours?

Back

The unit rate is 60 miles per hour.