Constant of Proportionality

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

How do you determine if a graph is proportional?

Back

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

Front

What does a unit rate represent?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

If 5 ice cream bars cost $12.25, how do you find the cost of one ice cream bar?

Back

To find the cost of one ice cream bar, divide the total cost by the number of bars: $12.25 ÷ 5 = $2.45.

Front

What is the unit rate if $500 is earned for every 8 hours worked?

Back

The unit rate is $500 ÷ 8 hours = $62.50 per hour.

Front

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

Back

A proportional relationship can be identified if the ratios of corresponding values are constant.

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) is significant in proportional graphs because it indicates that when one quantity is zero, the other quantity is also zero.

Front

If the constant of proportionality is 0.2, what is the relationship between x and y?

Back

If the constant of proportionality is 0.2, then y = 0.2x.