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. It can be found by dividing one quantity by the other.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between two quantities remains constant.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit. It is often used to find the cost per item or per unit.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the values of one quantity by the corresponding values of the other quantity. If the result is the same for all pairs, the relationship is proportional.

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they can be expressed as equivalent fractions.

Front

If k = 1.50, what does this indicate about the relationship?

Back

This indicates that for every unit increase in one quantity, the other quantity increases by 1.50 times.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

If a box of cereal costs $3.59 for 30 oz, how do you find the cost per ounce?

Back

Divide the total cost by the total ounces: $3.59 ÷ 30 oz = $0.1197, which rounds to 12 cents per ounce.

Front

What is the simplest form of the ratio 12 baskets to 18 attempts?

Back

The simplest form is 2:3.