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 quantity 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 in the equation y = kx.

Front

How do you write a proportional equation from a word problem?

Back

Identify the quantities involved, determine the constant of proportionality, and express the relationship in the form y = kx.

Front

If y = 4.25x, what does 4.25 represent?

Back

4.25 represents the constant of proportionality, indicating the cost per pound of cheddar cheese.

Front

What is the equation for a proportional relationship if the constant of proportionality is 10?

Back

The equation is y = 10x.

Front

How can you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equivalent or if they can be represented by a linear equation through the origin.

Front

What does the equation y = 9x represent?

Back

It represents a proportional relationship where for every unit increase in x, y increases by 9 times that amount.

Front

In the equation y = kx, what does k represent?

Back

k represents the constant of proportionality, which is the factor by which x is multiplied to get y.

Front

What is the significance of the slope in a proportional relationship graph?

Back

The slope of the line in a proportional relationship graph represents the constant of proportionality.

Front

If the equation is y = 19.25x, what is the cost per unit?

Back

The cost per unit is $19.25.