Finding Constant

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are directly proportional to each other. It is 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 a box of cereal costs $3.59 for 30 oz, the unit rate is $3.59 ÷ 30 oz = 12 cents per ounce.

Front

What does it mean when we say two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other. This means that as one quantity increases, the other quantity increases at a consistent rate.

Front

If 5 hours of work earns $150, what is the constant of proportionality?

Back

The constant of proportionality is $30 per hour, calculated as $150 ÷ 5 hours.

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 can you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction (1/2), with a colon (1:2), or in words (1 to 2).

Front

What is the formula for finding the constant of proportionality?

Back

The formula for finding the constant of proportionality is k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a car travels 90 miles in 2 hours, what is the constant of proportionality in miles per hour?

Back

The constant of proportionality is 45 mph, calculated as 90 miles ÷ 2 hours.

Front

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

Back

The unit rate is a specific case of the constant of proportionality, where the second quantity is 1. It shows how much of the first quantity corresponds to one unit of the second quantity.

Front

How do you compare two quantities?

Back

To compare two quantities, you can express them as y over x, which shows the relationship between the two.