Finding the Constant of Proportionality from Tables and Graphs

The video tutorial explains how to find the constant of proportionality, defined as the ratio of Y to X values, using both tables and graphs. It covers the formula K = y/x, demonstrates calculations with examples, and explains how to determine if data is proportional or nonproportional. The tutorial concludes with instructions for homework, emphasizing the importance of identifying the constant and its proportionality status.

What does the constant of proportionality represent in a mathematical context?

• The difference between x and y values

• The sum of x and y values

• The ratio of y to x values

• The product of x and y values

How is the constant of proportionality symbolically represented?

• R

• C

• P

• K

Why is 'K' used to represent the constant of proportionality?

• It's derived from the word 'konstant'

• No specific reason

• It's a tradition in mathematics

• It stands for 'constant'

If the y value is 12 and the x value is 3, what is the constant of proportionality?

• 4

• 3

• 9

• 15

What indicates that a table is proportional?

• All x values are the same

• All y values are the same

• The constant of proportionality varies

• The constant of proportionality is consistent

What does it mean if the constant of proportionality does not match across all values in a table?

• The data is still proportional

• The data is nonproportional

• The table is incorrect

• The constant of proportionality is zero

How do you find the y and x values on a graph to calculate the constant of proportionality?

• By identifying the intercepts

• By measuring the area under the curve

• By calculating the slope

• By tracing lines from the point to the axes

What does a constant of proportionality of 2 indicate in a graph?

• The graph is nonproportional

• The graph is a straight line through the origin

• The y values are twice the x values

• The x values are twice the y values

If a graph's points do not yield a consistent constant of proportionality, how is the graph classified?

• Exponential

• Linear

• Nonproportional

• Proportional

What must you do if your calculated constants of proportionality in a graph are not equal?

• Recalculate them

• Ignore the inconsistency

• Label the graph as proportional

• Label the graph as nonproportional