Proportional Relationships and Scaling

The video tutorial covers solving problems related to proportional relationships. It begins with an example of paper weight and sheets, explaining the concept of constant proportionality. It then discusses the proportional relationship between toys and batteries, highlighting the unit rate. The video also explores age differences, showing why they are not proportional. It explains division as the inverse of multiplication in proportional relationships. Finally, it demonstrates scaling quadrilaterals using a scale factor.

What is the constant of proportionality when considering the weight of a stack of paper?

• The weight per sheet

• The total weight of the stack

• The size of the paper

• The number of sheets

If you know the weight of one sheet of paper, how can you find the weight of 223 sheets?

• Multiply the weight of one sheet by 223

• Subtract the weight of one sheet from 223

• Divide the weight of one sheet by 223

• Add the weight of one sheet 223 times

If you have 5 toys, how many batteries would you expect to have?

• 5 batteries

• 10 batteries

• 15 batteries

• 20 batteries

What is the unit rate of toys to batteries if there are two batteries per toy?

• One toy per battery

• Half a toy per battery

• Two toys per battery

• Three toys per battery

What is the relationship between Lynn's age and her brother's age?

• Lynn is always twice as old as her brother

• Lynn is always three years older than her brother

• Lynn's age is proportional to her brother's age

• Lynn's age is half of her brother's age

Why is the age difference between Lynn and her brother not a proportional relationship?

• Because it involves subtraction

• Because it involves addition

• Because it involves division

• Because it involves multiplication

Why is the equation y = x/9 considered a proportional relationship?

• Because it is a subtraction problem

• Because it can be rewritten using multiplication with the inverse

• Because it involves addition

• Because division is not related to multiplication

What is the multiplicative inverse of 9 in the equation y = x/9?

• 9

• 1/9

• x

• y

What happens to the side lengths of a quadrilateral when it is scaled by a factor of 2?

• They halve

• They triple

• They double

• They remain the same

Which of the following is a side length of quadrilateral B if quadrilateral A is scaled by a factor of 2?

• 5 units

• 6 units

• 7 units

• 9 units