Constant of Proportionality Practice

Front

What is the constant of proportionality?

Back

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

Front

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

Back

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

Front

If a recipe calls for 3/4 cup of sugar for every 3 eggs, what is the unit rate of eggs per cup?

Back

4 eggs per cup.

Front

What is the equation of a proportional relationship?

Back

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

Front

In a proportional relationship, if y = 18.50x, what is the constant of proportionality?

Back

The constant of proportionality is 18.50.

Front

If there are 3 boys for every 5 girls in a class, what is the ratio of boys to girls?

Back

The ratio of boys to girls is 3:5.

Front

How do you determine the number of boys if there are 70 girls in a class with a ratio of 3 boys for every 5 girls?

Back

Use the ratio 3/5. If there are 70 girls, then (3/5) * 70 = 42 boys.

Front

What does it mean if a relationship is not proportional?

Back

A relationship is not proportional if the ratio between the quantities is not constant.

Front

If k = 2 in a proportional relationship, what does this imply?

Back

This implies that for every unit increase in x, y increases by 2.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.