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

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity of one variable by the quantity of the other variable, typically expressed as 'per 1 unit'.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a linear relationship where y is directly proportional to x, with k being the constant of proportionality.

Front

If a car travels 120 miles in 2 hours, what is the unit rate?

Back

The unit rate is 60 miles per hour.

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

What is the graph of a proportional relationship?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

If y = 8x, what is the constant of proportionality?

Back

The constant of proportionality is 8.

Front

What is the unit rate if a person earns $240 for 6 hours of work?

Back

The unit rate is $40 per hour.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.