Topic 3 Test: Proportional Relationships (2024)

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

How do you solve a proportion?

Back

To solve a proportion, you can cross-multiply the two ratios and then solve for the unknown variable.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

Front

If 6 people cost $39, how much does 1 person cost?

Back

$39 ÷ 6 = $6.50 per person.

Front

If 1 person costs $6.50, how much do 9 people cost?

Back

$6.50 × 9 = $58.50.

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

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

Front

How can you tell if a table of values represents a proportional relationship?

Back

If the ratios of the corresponding values are constant, then the table represents a proportional relationship.

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph is equal to the constant of proportionality.