Proportionality

Front

What is proportionality?

Back

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

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.7.RP.A.2B

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.

Tags

CCSS.7.RP.A.2B

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.

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.8.EE.B.5

Front

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

Back

Yes, it is proportional with k = -2.

Tags

CCSS.7.RP.A.2B

Front

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

Back

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

Tags

CCSS.7.RP.A.2D

Front

What is the equation of a proportional relationship?

Back

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

Tags

CCSS.7.RP.A.2C

Front

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

Back

Yes, it is proportional with k = 3.

Tags

CCSS.7.RP.A.2B

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.

Tags

CCSS.7.RP.A.2D