Equations: Constant of Proportionality

Front

What is the constant of proportionality in the equation y = 5x?

Back

The constant of proportionality is 5.

Front

Define the constant of proportionality.

Back

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

Front

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

Back

y = 3(4) = 12.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be expressed as y = kx, where k is a constant.

Front

In the equation y = 2x, what is the constant of proportionality?

Back

The constant of proportionality is 2.

Front

If the constant of proportionality is 7, write the proportional equation.

Back

y = 7x.

Front

What is the equation for a proportional relationship if k = 1/4?

Back

y = \frac{1}{4}x.

Front

How do you determine if a relationship is proportional from a table of values?

Back

Check if the ratio of y to x is constant for all pairs of values.

Front

If y = 10x, what happens to y if x is doubled?

Back

If x is doubled, y will also double.

Front

What is the equation for a proportional relationship if k = 3?

Back

y = 3x.