D84 Activity: Proportional Relationships - Equations

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 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 represented in the equation y = kx.

Front

Write the equation for a proportional relationship where y increases by 3 for every increase of 1 in x.

Back

Front

If y = 5x, what is the constant of proportionality?

Back

2.

Front

How do you identify a proportional relationship from a graph?

Back

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

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant of proportionality.

Front

Write an equation for a proportional relationship where y doubles as x increases by 1.

Back

Front

Which equation represents a proportional relationship: y = 3x + 2 or y = 3x?

Back

Front

If the equation is d = 0.45p, what is the constant of proportionality?

Back

0.45.

Front

What is the relationship between x and y in the equation y = 4x?

Back

For every increase of 1 in x, y increases by 4.