Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities. It is often represented by the letter 'k'.

Tags

CCSS.7.RP.A.2B

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, identify two points on the line, (x1, y1) and (x2, y2), and use the formula k = y/x for either point.

Tags

CCSS.7.RP.A.2B

Front

What does a constant of proportionality of 5 indicate?

Back

A constant of proportionality of 5 indicates that for every unit increase in the independent variable, the dependent variable increases by 5 units.

Tags

CCSS.7.RP.A.2B

Front

If the constant of proportionality is k = 1/2, what does this mean in terms of the relationship between x and y?

Back

If k = 1/2, it means that for every 2 units of x, y increases by 1 unit, indicating a direct relationship where y is half of x.

Tags

CCSS.7.RP.A.2B

Front

What is the significance of the constant of proportionality in real-world applications?

Back

The constant of proportionality is significant in real-world applications as it helps to model relationships between quantities, such as speed, density, and cost.

Tags

CCSS.7.RP.A.2B

Front

How can you determine the constant of proportionality from a table of values?

Back

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

Tags

CCSS.7.RP.A.2B

Front

What is the constant of proportionality for the equation y = 3x?

Back

The constant of proportionality for the equation y = 3x is 3.

Tags

CCSS.7.RP.A.2B

Front

In the equation y = kx, what does 'k' represent?

Back

In the equation y = kx, 'k' represents the constant of proportionality that defines the relationship between y and x.

Tags

CCSS.7.RP.A.2B

Front

If a graph shows a straight line passing through the origin, what can be said about the constant of proportionality?

Back

If a graph shows a straight line passing through the origin, it indicates that there is a constant of proportionality, and the relationship between the variables is directly proportional.

Tags

CCSS.7.RP.A.2D

Front

What is the constant of proportionality for a linear relationship?

Back

The constant of proportionality for a linear relationship is the slope of the line, which represents the rate of change between the two variables.

Tags

CCSS.HSF-LE.A.1B