Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the number that relates two proportional quantities, indicating how much one quantity changes in relation to another.

Front

In a proportional relationship, what happens to the values of one quantity when multiplied by the same number?

Back

The values for one quantity are each multiplied by the same number to get the values for the other quantity.

Front

What is the constant of proportionality in the relationship where y = 0.20x?

Back

0.20

Front

Which of the following represents a proportional relationship: (1, 2), (2, 4), (3, 6)?

Back

Yes, all pairs represent a proportional relationship because they maintain a constant ratio.

Front

If the constant of proportionality is 45 mph, what is the relationship between distance and time?

Back

Distance = Speed × Time, so Distance = 45 mph × Time.

Front

What is the value of q in the proportion 2/3 = q/6?

Back

q = 4.

Front

If a table shows values (1, 0.20), (2, 0.40), (3, 0.60), what is the constant of proportionality?

Back

0.20.

Front

How can you determine if a relationship is proportional using a graph?

Back

A proportional relationship will graph as a straight line that passes through the origin.

Front

What does it mean if a relationship is not proportional?

Back

It means that the ratio between the two quantities is not constant.

Front

If the constant of proportionality is 2, what is the value of y when x = 5?

Back

y = 2 × 5 = 10.