Finding the Constant of Proportionality from a Table

The video tutorial by Mr. Stocks introduces the concept of the constant of proportionality, also known as the unit rate, and explains it through examples. It begins with a basic explanation of direct variation and the roles of variables in the equation. The tutorial then uses a babysitting job scenario to demonstrate how to calculate earnings based on hours worked using the constant of proportionality. Further, it provides an example involving deer and square miles to illustrate how to find the constant. Finally, a practice problem involving cookies on sheets is presented for viewers to solve, reinforcing the concept of calculating the constant of proportionality.

What is another term for the constant of proportionality?

• Input

• Direct variation

• Unit rate

• Output

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

• Input

• Output

• Constant of proportionality

• Variable

If you earn $5 per hour babysitting, how much will you earn after 4 hours?

• $20

• $10

• $25

• $15

In the babysitting example, what does 'x' represent?

• The amount earned

• The hours worked

• The constant

• The unit rate

How do you find the constant of proportionality from a table of values?

• Subtract y from x

• Divide y by x

• Add y and x

• Multiply y by x

If 144 deer are seen in 16 square miles, what is the constant of proportionality?

• 9

• 8

• 11

• 10

In the deer example, what does the constant of proportionality represent?

• Number of deer per square mile

• Total number of deer

• Total square miles

• Number of deer seen

How many cookies can fit on a sheet if the constant of proportionality is 18?

• 16

• 18

• 20

• 22

If 72 cookies are baked on 4 sheets, what is the constant of proportionality?

• 20

• 16

• 18

• 22

What is the equation for the number of cookies on a sheet if the constant of proportionality is 18?

• y = 18 / x

• y = 18 - x

• y = 18x

• y = 18 + x