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### Course: 7th grade (Illustrative Mathematics) > Unit 2

Lesson 6: Lesson 7: Comparing relationships with tables# 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? :)(26 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(19 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?(8 votes)
- It depends on the ratio.

For example if we say the ratio of A to B, then it is A : B, which is A / B.(2 votes)

- Why is it not proportional i don't understand this gibberish(4 votes)
- I don't understand how you would find the constant of proportionality. My teacher says that its easy but its not.(2 votes)
- Yes, it really is easy. Assuming that you are given a proportional relationship and some ordered pairs, choose any ordered pair with nonzero x-value, and divide the y-value by the x-value in that ordered pair to get the constant of proportionality.

Then check to see if you get the same answer if you do the same thing with another ordered pair. If you don't get the same answer, then either you made a mistake or you were not given a proportional relationship.(3 votes)

- Had it been "Number of days left", it would have been a proportional relationship.(3 votes)
- i dont understand

cant you just divide without ratios?(2 votes)- well sure but if you use ratios then youre doing it right and if you dont you will be executed so its kinda a lose lose(1 vote)

- who really understands this?(2 votes)
- I do, it’s not easy to understand but I can.

So we know that the number of bananas eaten are proportional to the amount that Nate has left, so we ask is it proportional to the? We can**number of days that have passed***divide the amount left*(98) by the days passed (1) and we get 98. As Sal says we need to the same for day 2 so*96/2 = 48*, that means the amount eaten nor the amount left are proportional to the number of days passed.

.**96 & 2 are not equal to 48**(1 vote)

- I understand proportions in other videos (it seems clear and simple to me), but this video confuses me. Any help?(0 votes)
- In this case he is presenting the type of problem that will generally look like it could be proportional because Nate is always eating two bananas a day, but with the way the question is worded (trick question almost) this particular problem is not proportional (proportional being as one number increases so does the other number at a constant ratio). It is more along the lines of inversely proportion which is as one number increases the other decreases.(5 votes)

- guys the math is not mathing(2 votes)
- then you maybe have to go to class 1

i have some questions for class one

1. what comes after 6__

2. 2+3=*_*

3. 1-1=_

4.what comes before 10____

hope the math maths now

😂😂😂(1 vote)

- i don't understand the video please help me i'm failing my math class i need to get my grade up so i can pass 7th grade thank you so much for the video but i'm a little confused(2 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.