Constant of Proportionality Equations

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) is the ratio of y to x, indicating how y changes with respect to x.

Front

How do you find the constant of proportionality (k) from the equation y = kx?

Back

You can find k by rearranging the equation to k = y/x.

Front

What does the equation y = kx represent?

Back

It represents a direct variation where y is directly proportional to x with k as the constant of proportionality.

Front

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

Back

The constant of proportionality is 5.

Front

What is the relationship between x and y in the equation y = 10x?

Back

For every unit increase in x, y increases by 10 units.

Front

If the constant of proportionality is 7, what is the equation?

Back

The equation is y = 7x.

Front

In the equation y = kx, what happens to y if k is doubled?

Back

If k is doubled, y will also double for the same value of x.

Front

What is the formula to express k in terms of y and x?

Back

k = y/x.

Front

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

Back

y = 3 * 4 = 12.

Front

What does it mean if k = 0 in the equation y = kx?

Back

If k = 0, it means y is always 0 regardless of the value of x.