Proportional Relationships

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

What makes a graph proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

If a machine packs boxes at a constant rate of 2/3 a box every 1/2 a minute, how many boxes does it pack per minute?

Back

4/3 boxes per minute.

Front

Write an equation for a proportional relationship where y increases as x increases, with a constant of proportionality of 5.

Back

y = 5x.

Front

If the scale on a map is 1cm = 8km, and two cities are 24cm apart on the map, what is the actual distance between the cities?

Back

192 km.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

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.

Front

What is the formula for finding the constant of proportionality?

Back

k = y/x, where k is the constant of proportionality.

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 unit rate?

Back

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