Exploring the Constant of Proportionality in Tables

Dr. Nelson explains the concept of constant of proportionality, equating it to unit rate. The video includes examples using time and distance, people and burgers, jet travel, and cost of bananas to demonstrate how to calculate the unit rate by dividing the Y value by the X value. Viewers are encouraged to pause and solve practice problems to reinforce learning.

What does the constant of proportionality represent in a set of data?

• The difference between each set of values

• The unit rate or ratio between two quantities

• The sum of the x-values and y-values

• The total number of data points

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

• Multiply the x-value by the y-value

• Add the x-value to the y-value

• Divide the y-value by the x-value

• Subtract the x-value from the y-value

How is the constant of proportionality related to the concept of unit rate?

• The constant of proportionality is always double the unit rate

• They are unrelated concepts

• The constant of proportionality is the inverse of the unit rate

• The constant of proportionality is equivalent to the unit rate

What is the unit rate if a car travels 90 miles in 2 hours?

• 2 miles per hour

• 180 miles per hour

• 45 miles per hour

• 92 miles per hour

If 10 people can eat 20 burgers, what is the constant of proportionality for burgers per person?

• 30 burgers per person

• 20 burgers per person

• 10 burgers per person

• 2 burgers per person

What is the constant of proportionality if 20 burgers are shared by 10 people?

• 1 burger per person

• 2 burgers per person

• 10 burgers per person

• 20 burgers per person

What is the constant of proportionality for a passenger jet that travels 840 miles in 2 hours?

• 420 miles per hour

• 840 miles per hour

• 422 miles per hour

• 2 miles per hour

What does a unit rate of 1 in the denominator signify?

• The x-value is greater than the y-value

• The quantities are equal

• The y-value is greater than the x-value

• The quantity is measured per one unit of another quantity

For every 1 pound of bananas costing $2.50, what is the unit rate?

• $5.00 per pound

• $2.50 per pound

• $1.25 per pound

• $0.50 per pound

If 2 pounds of bananas cost $2.50, how much does 1 pound cost?

• $0.75

• $5.00

• $2.50

• $1.25