Writing Proportional Equations Practice

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 is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

How do you write a proportional equation from a table of values?

Back

Identify the constant ratio between the y-values and x-values, then express it in the form y = kx.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does the equation y = kx represent?

Back

It represents a direct variation where y varies directly with x.

Front

How can you find the constant of proportionality from an equation?

Back

You can find it by rearranging the equation to the form y = kx and identifying the value of k.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality expressed as a ratio of y to x when x = 1.

Front

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

Back

The equation is y = 5x.

Front

True or False: The constant of proportionality can change in a proportional relationship.

Back

False. The constant of proportionality remains constant.

Front

What is the relationship between the constant of proportionality and the slope of a line?

Back

In a graph of a proportional relationship, the constant of proportionality is equal to the slope of the line.