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

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

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in the equation y = kx.

Front

What does the unit rate represent in a proportional relationship?

Back

The unit rate represents the amount of one 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 unit rate for 120 miles in 2 hours?

Back

The unit rate is 60 miles per hour.

Front

If the constant of proportionality is 5, what is the equation of the proportional relationship?

Back

The equation is y = 5x.

Front

Is the relationship between 3 and 9 proportional?

Back

Yes, because the ratio 3:9 simplifies to 1:3, which is constant.

Front

What is the equation for a proportional relationship with a constant of 8?

Back

The equation is y = 8x.

Front

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

Back

Divide the value of y by the value of x for any pair of corresponding values.