Open up Unit 2 Proportion

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How do you calculate the constant of proportionality from a given situation?

Back

To calculate the constant of proportionality, divide the dependent variable (y) by the independent variable (x) in a proportional relationship.

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

If Justin runs 17 km in 2 hours, what is his speed in km/h?

Back

His speed is 8.5 km/h, calculated by dividing 17 km by 2 hours.

Front

What does a straight line graph indicate in a proportional relationship?

Back

A straight line graph indicates a constant rate of change, which is characteristic of proportional relationships.

Front

What is the significance of the point (0,0) in a proportional graph?

Back

The point (0,0) indicates that when the independent variable is zero, the dependent variable is also zero, confirming the relationship is proportional.

Front

How can you determine if a graph represents a proportional relationship?

Back

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

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

The slope of a line in a proportional relationship is equal to the constant of proportionality (k).

Front

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

Back

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

Front

How do you write an equation from a proportional table?

Back

To write an equation from a proportional table, identify the constant of proportionality and use the form y = kx.