Constant of Proportionality with Equations

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

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

Back

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

Front

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

Back

102 words per minute.

Front

If it takes Cevela ½ a can of sauce to cover ¾ of a pizza, compute the unit rate in terms of cans of sauce per pizza.

Back

⅔ cans of sauce per pizza.

Front

In the equation y = 14x, what is the constant of proportionality?

Back

14.

Front

What is a unit rate?

Back

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

Front

Is the relationship between the number of hours worked and the amount earned always proportional?

Back

Not always; it depends on whether the pay rate is constant.

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratio of the output to the input is constant for all pairs of values.

Front

How can you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal.

Front

What is the formula for finding the constant of proportionality in an equation?

Back

The constant of proportionality can be found using the formula k = y/x.