Proportional Tables and Equations

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

How do you identify if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

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

Write the equation for a proportional relationship where y is 3 times x.

Back

y = 3x

Front

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

Back

The constant of proportionality is 4.

Front

What does it mean if a relationship is not proportional?

Back

A relationship is not proportional if the ratios of corresponding values are not constant.

Front

How can you find the constant of proportionality from a word problem?

Back

To find the constant of proportionality, divide the output value by the input value.

Front

If Craig earns $9.25 per hour, how much will he earn for 10 hours?

Back

He will earn $92.50.

Front

What is the equation for a proportional relationship if the constant of proportionality is 2?

Back

y = 2x

Front

In a proportional table, if x = 5 and y = 15, what is the constant of proportionality?

Back

The constant of proportionality is 3.