Math 7: Constant of Proportionality From Tables

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

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the constant of proportionality for flour to sugar?

Back

The constant of proportionality is 2/3.

Front

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

Back

Divide the y-value by the corresponding x-value for any pair of values in the table.

Front

What is the constant of proportionality if y = 1/4x?

Back

The constant of proportionality is 1/4.

Front

If 10 milliliters is equivalent to 2 teaspoons, what is the constant of proportionality?

Back

The constant of proportionality is 1/5 (2 teaspoons per 10 milliliters).

Front

What is the relationship between the constant of proportionality and direct variation?

Back

In direct variation, the constant of proportionality is the constant ratio between the two variables.

Front

If the constant of proportionality is 4, what is the value of y when x = 3?

Back

y = 4 * 3 = 12.

Front

What does it mean if the constant of proportionality is less than 1?

Back

It means that as x increases, y increases but at a slower rate.

Front

If the constant of proportionality is 1/2, what is the value of y when x = 8?

Back

y = (1/2) * 8 = 4.