Exploring the Constant of Proportionality

The video tutorial covers the concept of constant of proportionality through examples. It starts with a vertical table example using pounds of apples and cost, explaining how to find the constant by dividing the Y value by the X value. The second example uses a horizontal table with gallons and miles, demonstrating the same process. The third example involves filling a table with hours worked and dollars earned, deriving an equation from the constant of proportionality. The video concludes with a summary of how to find the constant, write equations, and fill tables.

What variable represents the pounds of apples in the table?

• None of the above

• Constant of proportionality

• Independent variable

• Dependent variable

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

• Add the x and y values together

• Subtract the y value from the x value

• Multiply the x value by the y value

• Divide the y value by the x value

What does a constant of proportionality of 4 mean in the context of apples?

• $4 for every 4 pounds of apples

• 4 apples per pound

• $4 for every pound of apples

• 4 pounds of apples per dollar

In a horizontal table, what does the top row represent?

• The total cost

• The constant of proportionality

• The dependent variable

• The independent variable

What is the constant of proportionality if you can drive 120 miles with 3 gallons?

• 40 miles per gallon

• 3 miles per gallon

• 120 miles per gallon

• 83.3 miles per gallon

How do you represent the relationship between dollars earned and hours worked?

• Y = K - X

• Y = K * X

• Y = K / X

• Y = K + X

What is the constant of proportionality if $24 is earned in 2 hours?

• 12 dollars per hour

• 24 dollars per hour

• 48 dollars per hour

• 2 dollars per hour

If you work 4 hours, how much will you earn with a constant of proportionality of 12?

• $60

• $36

• $24

• $48

What operation do you use to find hours worked from dollars earned?

• Division

• Multiplication

• Addition

• Subtraction

If you earned $60, how many hours did you work?

• 4 hours

• 3 hours

• 5 hours

• 6 hours