Constant of Proportionality

Front

What is the constant of proportionality?

Back

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

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities is constant.

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

If y = 18.50x, what is the constant of proportionality?

Back

The constant of proportionality is 18.50.

Front

Is the relationship represented by the table proportional if the ratios are not constant?

Back

No, if the ratios are not constant, the relationship is not proportional.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

How do you find the unit rate from a total cost and quantity?

Back

Divide the total cost by the quantity to find the unit rate.

Front

If a box of cereal costs $3.59 for 30 oz, what is the unit rate per ounce?

Back

The unit rate per ounce is 12 cents.

Front

What does it mean for a table to represent a proportional relationship?

Back

It means that for every pair of values in the table, the ratio of the output to the input is constant.

Front

If a table shows values (2, 6), (4, 12), (6, 18), is it proportional?

Back

Yes, the ratios (3, 3, 3) are constant, so it is proportional.