Main content

## Pre-algebra

### Course: Pre-algebra > Unit 9

Lesson 4: Identifying proportional relationships- Intro to proportional relationships
- Proportional relationships: movie tickets
- Proportional relationships: bananas
- Proportional relationships: spaghetti
- Identify proportional relationships
- Proportional relationships
- Proportional relationships
- Is side length & area proportional?
- Is side length & perimeter proportional?

© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

# Proportional relationships: bananas

A proportionality problem about eating bananas.

## Want to join the conversation?

- I have four questions:

.When a problem is not proportional, do we just say it's not proportional and go on to the next question?

.What kind of relationship is it if it's not proportional?

.Could we still solve it even if it's not proportional?

. And why would he waste money on 100 bananas? :)(16 votes)- 1. Since there's a way to solve nonproportional relationships, you would still solve it (in a graph or a table).

2. Non-proportional :)

3. Yes, assuming the problem still makes sense.

4. Maybe he really likes bananas and they were on sale if you got 100 of them? idk(8 votes)

- I didn't know eating bananas would be this hard(16 votes)
- so... he's food poisoning himself by eating 49-day-old bananas?(11 votes)
- Why don't nate's bananas go bad?(9 votes)
- he or she must've putted something or injected something to keep the bananas healthy(5 votes)

- Hate to break it to you, Nate, but banana rots in a week or so if not eaten...(10 votes)
- i have a bone to pick w khan academy equations cause who has 100 bananas(6 votes)
- A grocery store, a zoo, a banana picker, ...(5 votes)

- When doing the ratios, does it matter which number is the numerator and which is the denominator? For example, is Y always over X?(6 votes)
- most people are addicted to alcohol and Nate...he is addicted to bananas(6 votes)
- people arent that addicted to alcohol...(1 vote)

- how he get so many bananas(6 votes)

## Video transcript

- [Voiceover] Today, Nate has 100 bananas. He will eat two of them every day. Is the number of bananas Nate has left proportional to the number of days that pass? And I encourage you to pause this video and think about this. And what's interesting here, they're not saying, is the number of bananas eaten, they're saying the number of bananas Nate has left, proportional to the number of days that pass. So let's draw a little table here to think about this a little bit more. So I'm gonna make three columns. I'm gonna make three columns. So in the first column, this is gonna be the number of days that pass. So number of days... that pass. So that's this right over here, the number of days that pass. And this middle column, I'm gonna write the number of bananas Nate has left. Number of bananas... bananas left. And over here, I'm gonna make the ratio between the two. In order for this to be a proportional relationship, the ratio between these two has to be constant. So bananas left. So I'm gonna divide the second column by the first column. Bananas left... left, divided by days passed. Days passed. All right, so let's think about it a little bit. When one day has passed, how many bananas will he have left? Well, in that one day he will have eaten two bananas, so you're going to have 98 bananas left. And so what's the ratio of bananas left to days passed? Well, it's 98 over one, which is going to be equal to 98. All right. When two days have passed, how many bananas is he gonna have left? Well, he's going to consume two more bananas, so he's going to have 96 left, and so what's the ratio? It's going to be 96 to two, which is equal to 48. So clearly this ratio is not constant. It changed just from going to one day to the next day. So we don't have a constant ratio of bananas left to days passed, so this is not, this is not a proportional, proportional relationship. Now, things might've been a little bit different if they said the number of bananas Nate has eaten, is that proportional to the number of days that passed? Well, yeah, sure, because then, if this was the number of bananas eaten, if this was the number of bananas eaten, then it would always be two times the number of days that pass, so that would be two, and then that would be four, and then these ratios would always be two. But that's not what they asked for. They wanted us to compare number of bananas left to number of days that pass.