Understanding Ratios, Rates, and Their Graphical Representations

Mrs. D explains ratios and rates, using tables and graphs to illustrate additive and multiplicative relationships. Examples include comparing ages and club memberships. The video highlights how to identify these relationships and their differences in graphical representation.

What is a ratio?

• A method to find the average

• A way to calculate percentages

• A comparison of two items

• A comparison of two units with a relationship

In the ages example, how much older is Grant than Tim?

• 6 years

• 5 years

• 4 years

• 3 years

What type of relationship is shown in the club membership example?

• Additive

• Exponential

• Multiplicative

• Linear

How many total members are there when 3 new members join the club?

• 5

• 6

• 7

• 8

In the movie-watching example, how many movies are watched by the end of the third week?

• 15

• 6

• 12

• 9

What kind of relationship is demonstrated by the movie-watching example?

• Multiplicative

• Linear

• Exponential

• Additive

Which relationship increases at a faster rate?

• Multiplicative

• Both increase at the same rate

• Neither increases

• Additive

What is a key characteristic of an additive relationship?

• It is always exponential

• Both factors change

• One factor stays consistent

• It involves multiplication

In a multiplicative relationship, what happens to the factors?

• Only one factor changes

• Neither factor changes

• One factor stays the same

• Both factors change

How can you tell the difference between additive and multiplicative relationships on a graph?

• Additive relationships form a curve

• Multiplicative relationships form a straight line

• Additive relationships have a consistent factor

• Multiplicative relationships increase at a faster rate