Week 15 Constant of Proportionality Problems

Front

What is the constant of proportionality?

Back

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

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 unit change in x.

Front

What is the proportional equation if the constant of proportionality is 10?

Back

y = 10x.

Front

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

Back

Divide the value of y by the corresponding value of x for any pair of values in the table.

Front

What is the constant of proportionality in the equation y = ½x?

Back

1/2.

Front

If y = 5x, what is the constant of proportionality?

Back

5.

Front

What is the relationship between x and y in a proportional relationship?

Back

In a proportional relationship, as x increases or decreases, y changes at a constant rate determined by the constant of proportionality.

Front

Write the equation for a proportional relationship where the constant of proportionality is 3.

Back

y = 3x.

Front

If there are 9 chairs in 3 rows, how many chairs are there per row?

Back

3 chairs per row.

Front

What does it mean if two quantities are proportional?

Back

It means that their ratio is constant; as one quantity changes, the other changes in a way that maintains the same ratio.