Proportionality

Front

What is proportionality?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant value that relates two proportional quantities, expressed as y = kx.

Front

If the Browns scored 28 points in 4 quarters, what is their average points per quarter?

Back

y = 7x, where y is the total points and x is the number of quarters.

Front

How do you determine if a table of values is proportional?

Back

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

Front

What does it mean if an equation is not proportional?

Back

An equation is not proportional if it includes a constant term that does not depend on the variable, such as y = mx + b where b ≠ 0.

Front

Is the equation y = -2x proportional? If so, what is the constant of proportionality?

Back

Yes, it is proportional with k = -2.

Front

Is the equation y = 1/4x + 2/3 proportional?

Back

No, it is not proportional because of the constant term 2/3.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is in the form y = kx.

Front

If a table shows values (1, 3), (2, 6), (3, 9), is it proportional?

Back

Yes, it is proportional with k = 3.

Front

What is the graphical representation of a proportional relationship?

Back

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