Proportional Relationships

Front

What is a proportional relationship?

Back

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 ratio in a proportional relationship, often represented as k in the equation y = kx.

Front

If y = 3x, what is the constant of proportionality?

Back

3

Front

How do you identify a proportional relationship from a table of values?

Back

If the ratio of y to x is constant for all pairs of values, then the relationship is proportional.

Front

What does the graph of a proportional relationship look like?

Back

A straight line that passes through the origin (0,0).

Front

If 4 hours of work earns $200, what is the unit rate?

Back

$50 per hour.

Front

Which equation represents a proportional relationship? y = 5x or y = x + 3?

Back

y = 5x.

Front

What is the unit rate in the equation y = ½x?

Back

½.

Front

If the constant of proportionality is 2, what is the value of y when x = 6?

Back

y = 12.

Front

What is the equation of a proportional relationship if the constant of proportionality is 4?

Back

y = 4x.