Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What is the constant of proportionality?

Back

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

Front

If a machine packs boxes at a rate of 2/3 a box every 1/2 a minute, how many boxes does it pack in one minute?

Back

4/3 boxes.

Front

How do you find the constant of proportionality from a cost and weight problem?

Back

Divide the total cost by the total weight to find the cost per unit weight.

Front

What does it mean if two figures are similar?

Back

Two figures are similar if they have the same shape but may differ in size, meaning their corresponding angles are equal and their sides are in proportion.

Front

If the cost of 4 pounds of grapes is $24.36, what is the cost per pound?

Back

$6.09 per pound.

Front

What is the formula for finding the constant of proportionality?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

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

Back

The relationship between distance and time when traveling at a constant speed.

Front

How can you tell if an equation represents a proportional relationship?

Back

An equation represents a proportional relationship if it can be written in the form y = kx, where k is a non-zero constant.

Front

What is the relationship between similar figures and proportionality?

Back

The lengths of corresponding sides of similar figures are proportional.