MA7 Equations for Proportional Relationships 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 in the equation y = kx.

Front

Write an equation to represent the proportional relationship where y is three times x.

Back

y = 3x

Front

Does the table show a proportional relationship if the ratios are not constant?

Back

No, if the ratios are not constant, it does not show a proportional relationship.

Front

Write an equation for the relationship where the cost C is 18.50 times the number of days d.

Back

C = 18.50d

Front

What does the equation C = 19.25d represent?

Back

It represents the total cost C after a certain number of days d, where the cost per day is $19.25.

Front

If y = ½x, what is the constant of proportionality?

Back

1/2

Front

How do you determine if a relationship is proportional from a table of values?

Back

Check if the ratios of corresponding values are constant.

Front

What is the equation for a proportional relationship where y is half of x?

Back

y = ½x

Front

If the cost C is directly proportional to the number of items x, how would you express this relationship?

Back

C = kx, where k is the constant of proportionality.