Constant of Proportionality: Topic 2-4 Practice

Front

What is the Constant of Proportionality?

Back

The Constant of Proportionality (k) is the constant ratio between two proportional quantities, represented as k = y/x.

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of y to x is constant for all pairs of values.

Front

What is the formula to find the Constant of Proportionality?

Back

The formula to find the Constant of Proportionality is k = y ÷ x.

Front

If y = 12 and x = 3, what is the Constant of Proportionality?

Back

k = 12 ÷ 3 = 4.

Front

Is the relationship between the pairs (2, 6) and (4, 12) proportional?

Back

Yes, because the ratios are equal: 6/2 = 3 and 12/4 = 3.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means the ratios of y to x are not constant.

Front

If k = 5, what does this imply about the relationship between x and y?

Back

It implies that for every unit increase in x, y increases by 5 units.

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 the value of k if y = 15 and x = 5?

Back

k = 15 ÷ 5 = 3.

Front

If a table shows (1, 2), (2, 4), (3, 6), is it proportional?

Back

Yes, because the ratio y/x is constant (2, 2, 2).