Proportional Tables

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 in a table?

Back

To find the constant of proportionality in a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

If the constant of proportionality is 7, what does this mean?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 7 units.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

How can you tell if two quantities are proportional?

Back

Two quantities are proportional if they can be expressed as a constant ratio or if a graph of the two quantities forms a straight line through the origin.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

If it takes 20 hours to read 8 books, what is the time to read 1 book?

Back

2.5 hours (20 hours ÷ 8 books = 2.5 hours per book).

Front

If x is 30 in a proportional relationship, what does this indicate?

Back

It indicates that the dependent variable is 30 times the independent variable, based on the constant of proportionality.

Front

What is the value of x if the constant of proportionality is 10 and y is 80?

Back

x = 8 (since y = kx, 80 = 10x, thus x = 80/10 = 8).

Front

What does it mean if a table has undefined values for the constant of proportionality?

Back

It means that the relationship between the quantities is not proportional, possibly due to zero or non-numeric values.