Identifying Proportional Relationships (Graphs AND Tables)

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 quantity is constant.

Front

How do you identify a proportional relationship in a table?

Back

A table shows a proportional relationship if the ratios of corresponding values are equal.

Front

What is the constant of proportionality?

Back

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

Front

If y = kx, what does 'k' represent?

Back

'k' represents the constant of proportionality in the equation, indicating how much y changes for a change in x.

Front

How can you determine if a graph represents a proportional relationship?

Back

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

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

If a table shows values (2, 4), (3, 6), (4, 8), what is the constant of proportionality?

Back

The constant of proportionality is 2, as each value of y is double the corresponding value of x.

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

How can you find a missing value in a proportional table?

Back

To find a missing value, set up a proportion using the known values and solve for the unknown.

Front

If Jeff runs 6 miles in 4 hours, what is his speed in miles per hour?

Back

His speed is 1.5 miles per hour (6 miles / 4 hours).