Constant of Proportionality: 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 from a table?

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What does a constant of proportionality of 0.2 mean?

Back

A constant of proportionality of 0.2 means that for every 1 unit of x, y increases by 0.2 units.

Front

If the constant of proportionality is 4 swings per day, how many swings are there in 3 days?

Back

12 swings (4 swings/day * 3 days = 12 swings).

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per 1 unit of another quantity.

Front

Write an equation for a proportional relationship with a constant of proportionality of 6.

Back

y = 6x.

Front

If the constant of proportionality is 12 dollars per suit, how much would 5 suits cost?

Back

60 dollars (12 dollars/suit * 5 suits = 60 dollars).

Front

What is the relationship between the constant of proportionality and unit rates?

Back

The constant of proportionality is essentially the unit rate, representing how much of one quantity corresponds to one unit of another quantity.

Front

If y = 2x, what is the constant of proportionality?

Back

2.

Front

How can you express a proportional relationship in a table?

Back

By listing pairs of values (x, y) where y is a constant multiple of x.