Desmos 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 quantity is constant.

Front

What does the constant of proportionality (k) represent?

Back

The constant of proportionality (k) represents the ratio between two proportional quantities.

Front

How do you write the equation of a proportional relationship?

Back

The equation of a proportional relationship is written in the form y = kx, where k is the constant of proportionality.

Front

If Miguel saves 15 dollars per month, what is the total amount saved after 4 months?

Back

Total savings = 15 dollars/month * 4 months = 60 dollars.

Front

What is the constant of proportionality if y = 1x?

Back

The constant of proportionality k = 1.

Front

If Newtown middle school spends 11 dollars on every yearbook, is the spending proportional to the number of yearbooks?

Back

Yes, the spending is proportional because the cost per yearbook is constant.

Front

How can you determine if a graph represents a proportional relationship?

Back

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

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratio between the two quantities is not constant.

Front

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

Back

The constant of proportionality k = 3.

Front

What is the total cost for 5 yearbooks if each costs 11 dollars?

Back

Total cost = 11 dollars/yearbook * 5 yearbooks = 55 dollars.