Exploring Proportional Tables and Equations

The video tutorial covers proportional relationships, focusing on setting up proportions, using tables to identify multipliers, and writing equations. It explains the concept of slope as a multiplier or rate of change and provides examples of simplifying ratios to find unit rates. The tutorial also includes practice problems and instructions for homework, emphasizing the application of these concepts in solving proportional equations.

What is a proportion in mathematics?

• A relationship where two ratios are equal

• A relationship where two numbers are added

• A relationship where two numbers are subtracted

• A relationship where two numbers are multiplied

In a table for proportional relationships, what do the denominators represent?

• X values

• Slopes

• Y values

• Multipliers

How do you find the multiplier between X and Y in a proportional table?

• By adding X and Y

• By multiplying X and Y

• By subtracting X from Y

• By dividing Y by X

What is another term for the multiplier in a proportional relationship?

• Constant

• Slope

• Numerator

• Denominator

What is the equation form for a proportional relationship?

• y = x - m

• y = x + m

• y = mx

• y = mx + b

If the ordered pairs (4, 2) and (6, 3) form a proportional relationship, what is the multiplier?

• 1/2

• 2

• 3

• 1/3

What is the simplified ratio for the ordered pair (7, 14)?

• 1/2

• 3

• 1/3

• 2

What is the equation for the proportional relationship with a multiplier of 1/3?

• y = x/3

• y = 3x

• y = 1/3x

• y = x + 1/3

In the example with points (18, 6) and (12, 4), what is the multiplier?

• 1/3

• 3

• 1/2

• 2

What is the rate of change for the ordered pairs (6, 30) and (3, 15)?

• 1/2

• 1/3

• 5

• 2