Exploring Proportional Tables and Equations

This video tutorial covers the topic of proportional tables and equations, focusing on how to write equations from tables of proportional relationships. It explains the concept of the constant of proportionality, represented by the letter K, and demonstrates how to identify proportional relationships through examples, including converting rain to snow and using diagrams like double number lines. The video emphasizes the importance of consistent ratios and provides practical examples to illustrate these concepts.

What is the essential question for this video?

• How do we solve quadratic equations?

• How do we calculate the area of a circle?

• How do we write equations from tables of proportional relationships?

• What is the Pythagorean theorem?

In a proportional relationship, what is consistent among all data points?

• The sum of the variables

• The difference between the variables

• The ratio between the variables

• The product of the variables

What letter is used to represent the constant of proportionality?

• R

• K

• P

• C

If the unit rate is 4, what would the equation look like?

• y = 4 + x

• y = 4 / x

• y = 4 * x

• y = x - 4

How can you verify that a table shows a proportional relationship?

• By checking if the product of x and y is constant

• By checking if the sum of x and y is constant

• By checking if the difference between x and y is constant

• By checking if the ratio of y to x is consistent

In the example with a unit rate of 10, what is the equation?

• y = x - 10

• y = 10 / x

• y = 10 + x

• y = 10 * x

What does it mean if the ratio of y to x is always the same in a table?

• The table is not proportional

• The table is quadratic

• The table is proportional

• The table is linear

What is the unit rate in the example with rain and snow?

• 5

• 10

• 15

• 20

How can you use a double number line to check for proportionality?

• By checking if the ratio of y to x is consistent

• By checking if the lines intersect

• By checking if the lines are parallel

• By checking if the lines are perpendicular

If the unit rate is 8, what would the equation be?

• y = 8 + x

• y = 8 / x

• y = 8 * x

• y = x - 8