Understanding Proportional Relationships with Bananas

The video explores whether the number of bananas Nate has left is proportional to the number of days that pass. A table is created to analyze the relationship, revealing that the ratio of bananas left to days passed is not constant, indicating a non-proportional relationship. An alternative scenario is considered, where the number of bananas eaten is proportional to the days passed.

What is the initial number of bananas Nate has?

• 200

• 150

• 100

• 50

How many bananas does Nate eat each day?

• 4

• 3

• 2

• 1

What is the purpose of creating a table in this problem?

• To compare the number of days passed with bananas left

• To find the average number of bananas eaten per day

• To track the number of bananas eaten

• To calculate the total number of bananas

What is the ratio of bananas left to days passed after one day?

• 94

• 96

• 98

• 100

What is the ratio of bananas left to days passed after two days?

• 98

• 50

• 48

• 96

How many bananas are left after two days?

• 92

• 98

• 96

• 94

Why is the relationship not proportional?

• The number of bananas eaten is constant

• The initial number of bananas is incorrect

• The number of days is not counted correctly

• The ratio of bananas left to days passed changes

What would make the relationship proportional?

• If the number of days was reduced

• If the number of bananas eaten was compared to days passed

• If the number of bananas left was constant

• If Nate ate more bananas each day

What is the constant ratio if the number of bananas eaten is compared to days passed?

• 4

• 1

• 2

• 3

What is the main focus of the alternative scenario discussed?

• The number of bananas left

• The number of bananas eaten

• The number of days passed

• The initial number of bananas