Proportionality, constant of proportionality

Front

What is proportionality?

Back

Proportionality refers to a relationship between two quantities where their ratio remains constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in the equation y = kx.

Front

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

Back

In the equation y = kx, 'k' represents the constant of proportionality, which is also known as the unit rate or slope.

Front

When solving a proportion problem, will you use addition/subtraction?

Back

No, you will use multiplication or division.

Front

If k = 46, what does this indicate about the relationship between x and y?

Back

It indicates that for every unit increase in x, y increases by 46 units.

Front

What is the value of k if y = 9 when x = 1?

Back

k = 9.

Front

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

Back

The constant of proportionality is 3.

Front

Which of the following describes a proportional relationship: (1) y = 2x, (2) y = x + 5?

Back

(1) y = 2x describes a proportional relationship.

Front

What does a proportional graph look like?

Back

A proportional graph is a straight line that passes through the origin (0,0).

Front

If the constant of proportionality is $4, what is y when x = 5?

Back

y = 4 * 5 = $20.