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 does the equation y = kx represent?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the factor that relates two proportional quantities.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

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

Back

y = 2x represents a proportional relationship; y = 2x + 3 does not.

Front

If you have the equation y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

If you travel 240 miles on 8 gallons of gas, what is the unit rate in miles per gallon?

Back

The unit rate is 30 miles per gallon.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.

Front

What is the formula to find the constant of proportionality from a table of values?

Back

The constant of proportionality (k) can be found by dividing the value of y by the value of x (k = y/x).