Constant of Proportionality

Front

A proportional relationship can be written as an equation in the form ____ = _____  _____

Back

y = kx

Front

Identify the constant of proportionality, k, that relates y to x if k = -0.45.

Back

k = -0.45

Front

If Kahory drives 164 miles (m) in 4 hours (h), what is the constant of proportionality, k, in miles per hour, if m=kh?

Back

k=41

Front

The point (0, 0) is called the origin. True or False?

Back

True

Front

What is the constant of proportionality, k, that relates y to x if k = 9?

Back

k = 9

Front

What does the constant of proportionality represent in a proportional relationship?

Back

It represents the ratio of y to x, or how much y changes for a unit change in x.

Front

In the equation y = kx, what does 'k' represent?

Back

'k' is the constant of proportionality.

Front

If y = 12 when x = 3, what is the constant of proportionality, k?

Back

k = 4 (since 12 = k * 3, k = 12/3).

Front

If the constant of proportionality is 5, what is the value of y when x = 10?

Back

y = 50 (since y = 5 * 10).

Front

What is the relationship between the constant of proportionality and the slope of a line in a graph of a proportional relationship?

Back

The constant of proportionality is equal to the slope of the line.