Finding the Constant of Proportionality

Miss Jacobson explains how to find the constant of proportionality in proportional graphs. She uses examples of water usage and hiking distance graphs to demonstrate the process. The video covers setting up tables, identifying patterns, and calculating the constant using the formula y = kx. It also discusses the use of a y/x column to simplify finding the constant when it's not immediately clear.

What is the constant of proportionality in a proportional graph?

• The ratio of y to x

• The difference between x and y variables

• The sum of x and y variables

• The number you multiply x by to get y

In the water usage example, what is the constant of proportionality?

• 10

• 3

• 7

• 5

How can you find the constant of proportionality using a table?

• By adding x and y values

• By multiplying x values

• By finding a pattern in the table

• By subtracting x from y

What is the constant of proportionality in the hiking distance example?

• 6/5

• 7/5

• 8/5

• 5/6

Why is it challenging to find the constant of proportionality in the hiking example?

• The values are not proportional

• The values are too large

• The values are not whole numbers

• The values are negative

How can the y/x ratio help in finding the constant of proportionality?

• It eliminates the need for a table

• It simplifies the calculation

• It makes the values larger

• It changes the values to whole numbers

What is the benefit of adding a y/x column to the table?

• It helps in subtracting x from y

• It helps in identifying the constant of proportionality

• It helps in dividing x by y

• It helps in finding the sum of x and y

What is the result of multiplying 5 by the constant of proportionality in the hiking example?

• 8

• 7

• 6

• 5

What is the constant of proportionality if y = 12 and x = 10?

• 8/5

• 7/5

• 6/5

• 5/6

What should you do if the constant of proportionality is not clear from the table?

• Add an x-y column

• Add a y/x column

• Add an x/y column

• Add a y-x column