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 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

How do you find the constant of proportionality from a table of values?

Back

Divide the value of y by the value of x for any pair of corresponding values in the table. The result is the constant of proportionality.

Front

Write the equation for a proportional relationship with a constant of proportionality of 3.

Back

y = 3x.

Front

If you travel 240 miles on 8 gallons of gas, how many miles do you travel per gallon?

Back

30 miles per gallon.

Front

What does it mean if a graph represents a proportional relationship?

Back

It means that the graph is a straight line that passes through the origin (0,0).

Front

Identify the constant of proportionality in the equation p = 0.5w.

Back

The constant of proportionality is 0.5.

Front

Which of the following represents a proportional relationship: y = 2x + 3 or y = 4x?

Back

y = 4x represents a proportional relationship.

Front

What is the formula to find the unit rate?

Back

Unit rate = Total quantity / Number of units.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.