Constant of Proportionality

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

Which formula represents the constant of proportionality?

Back

k = y/x.

Front

If y = 16 when x = 1, what is the constant of proportionality?

Back

k = 16.

Front

If the cost of 5 apples is $10, what is the constant of proportionality?

Back

k = 10/5 = 2.

Front

True or False: The constant of proportionality can change depending on the values of x and y.

Back

False. The constant of proportionality remains the same for proportional relationships.

Front

What does a graph of a proportional relationship look like?

Back

A straight line that passes through the origin (0,0).

Front

If the constant of proportionality is 1/2, what is the value of y when x = 4?

Back

y = (1/2) * 4 = 2.

Front

What is the constant of proportionality if y = 3 when x = 9?

Back

k = 3/9 = 1/3.

Front

Which of the following ordered pairs is part of the proportional relationship if k = 4? (2, 8), (3, 12), (4, 16), (5, 20)

Back

All of the pairs are part of the relationship.

Front

If the graph shows that 6 pounds of bananas cost $120, what is the constant of proportionality?

Back

k = 120/6 = 20.