Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the ratio of y to x in a proportional relationship, expressed as y = kx.

Front

How do you determine the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

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

Back

The constant of proportionality is k = 2.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

How can you tell if a graph represents a proportional relationship?

Back

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

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

If k = 1/2, what is the relationship between x and y?

Back

If k = 1/2, then y = (1/2)x, meaning for every 1 unit increase in x, y increases by 0.5 units.

Front

What does it mean if the constant of proportionality is 'none'?

Back

If the constant of proportionality is 'none', it means the relationship is not proportional and does not maintain a constant ratio.

Front

How do you convert a rate to find the constant of proportionality?

Back

To convert a rate to find the constant of proportionality, express the rate as a fraction and simplify to find k.