Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the form y = kx.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

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 one quantity by the corresponding value of the other quantity for any pair of values.

Front

In the equation y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality, which indicates how much y changes for a unit change in x.

Front

If you have 18 orders in 3 days, what is the unit rate in orders per day?

Back

The unit rate is 6 orders per day (18 orders ÷ 3 days = 6 orders/day).

Front

What is the constant of proportionality for k = 1/2?

Back

The constant of proportionality k = 1/2 means that for every 1 unit increase in x, y increases by 1/2.

Front

In the equation y = 14x, what is the value of the constant of proportionality?

Back

The constant of proportionality is 14.

Front

If you spend $40 on 5 pounds of concrete, what is the unit rate in dollars per pound?

Back

The unit rate is $8 per pound ($40 ÷ 5 pounds = $8/pound).

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

How can you express a constant of proportionality in a graph?

Back

In a graph, the constant of proportionality can be represented as the slope of the line that passes through the origin.