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

What is the constant of proportionality?

Back

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

Front

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

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a linear relationship where y is directly proportional to x with k as the constant of proportionality.

Front

What is the difference between proportional and non-proportional relationships?

Back

In proportional relationships, the ratio between the two quantities is constant, while in non-proportional relationships, the ratio changes.

Front

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

Back

The constant of proportionality is 3.

Front

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

If the cost of 4 pounds of grapes is $24.36, how do you find the cost per pound?

Back

To find the cost per pound, divide the total cost by the number of pounds: $24.36 / 4 = $6.09.

Front

What is the formula to calculate the constant of proportionality from a word problem?

Back

The formula is k = y / x, where y is the dependent variable and x is the independent variable.

Front

What does k represent in the equation y = kx?

Back

k represents the constant of proportionality.