Constant of Proportionality: Data Tables

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities. It is the ratio of one quantity to another when they are in a proportional relationship.

Front

Determine the missing value in the table where the constant of proportionality is 3 and one value is 5.

Back

The missing value is 15, since 5 multiplied by the constant of proportionality (3) equals 15.

Front

Nancy can type 50 words per minute. Write an equation that matches the data: If m is minutes, what is the equation for w (words typed)?

Back

w = 50m

Front

Look at the table below. Write an equation to match the pattern between m (minutes) and b (bubbles blown) if b is 12 times m.

Back

b = 12(m)

Front

Is the given table a proportional relationship? If so, what is the constant?

Back

Yes; 3, since the ratio between the quantities remains constant.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

If the constant of proportionality is 4, what is the value of y when x = 6?

Back

y = 4 * 6 = 24.

Front

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

Back

Divide one quantity by the corresponding quantity to find the constant ratio.

Front

If a table shows that for every 2 apples, there are 6 oranges, what is the constant of proportionality?

Back

The constant of proportionality is 3, since 6 divided by 2 equals 3.

Front

What is the equation for a proportional relationship where the constant is 5?

Back

y = 5x.