Proportional Tables and Graphs

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the constant of proportionality?

Back

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

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 3 pounds of apples cost $3.60, the unit rate is $3.60 ÷ 3 = $1.20 per pound.

Front

What does it mean if a graph goes through the origin?

Back

If a graph goes through the origin (0,0), it indicates a proportional relationship between the two variables.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is when the ratio between two quantities is not constant, and the graph does not pass through the origin.

Front

Write the equation for a proportional relationship where y is 19.25 times x.

Back

y = 19.25x

Front

If a table shows a constant ratio of 45, what does this represent?

Back

This represents the constant of proportionality, indicating that for every unit increase in x, y increases by 45.

Front

How can you determine if a relationship is proportional from a table?

Back

Check if the ratios of y to x are constant for all pairs of values in the table.

Front

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

Back

The slope of a proportional graph represents the constant of proportionality.

Front

If a graph shows a straight line but does not pass through the origin, what can be concluded?

Back

It indicates a non-proportional relationship.