Constant of Proportionality Graphs

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

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

Back

To identify the constant of proportionality from a graph, find the ratio of the y-value to the x-value for any point on the line. This ratio remains constant for all points on the line.

Tags

CCSS.7.RP.A.2B

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a direct variation where 'y' varies directly with 'x' and 'k' is the constant of proportionality.

Front

If 100 is earned for each hour worked, what is the constant of proportionality?

Back

The constant of proportionality is 100.

Tags

CCSS.7.RP.A.2B

Front

In the equation y = 7x, what does '7' represent?

Back

'7' represents the constant of proportionality, indicating that for every unit increase in 'x', 'y' increases by 7.

Tags

CCSS.7.RP.A.2B

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality expressed as a ratio of one quantity to one unit of another quantity.

Tags

CCSS.7.RP.A.2B

Front

If y = 6x, what is the value of y when x = 4?

Back

When x = 4, y = 6 * 4 = 24.

Tags

CCSS.6.RP.A.3C

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 y-value by the corresponding x-value for any pair of values.

Tags

CCSS.7.RP.A.2B

Front

What is the constant of proportionality if y = 40 when x = 1?

Back

The constant of proportionality is 40.

Tags

CCSS.7.RP.A.2B

Front

If a graph shows that 500 is earned for every 8 hours worked, what is the constant of proportionality?

Back

The constant of proportionality is 62.5 (500/8).

Tags

CCSS.7.RP.A.2B