Constant of Proportionality Review

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 unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if the ratio between the two quantities remains constant. This means that as one quantity increases, the other quantity increases at a consistent rate.

Front

Write an equation for a proportional relationship where the constant of proportionality is 22.

Back

y = 22x.

Front

If you buy 10 items for $50, what is the unit cost per item?

Back

$50 ÷ 10 = $5 per item.

Front

What is the formula to determine the constant of proportionality from a table of values?

Back

The constant of proportionality can be found by dividing the value of y by the value of x (k = y/x).

Front

In the equation y = 18.50x, what does 18.50 represent?

Back

18.50 represents the constant of proportionality, indicating the cost per unit.

Front

If the unit cost of a pizza is $6.50, how much would 20 pizzas cost?

Back

20 pizzas would cost 20 x $6.50 = $130.

Front

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

Back

In a proportional relationship, y is directly proportional to x, meaning y increases or decreases as x does, maintaining a constant ratio.

Front

How can you tell if a table of values represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of y to x are the same for all pairs of values.