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I'm working as a tutor and I got a question (from grade 9 no less) that reads "model: $\frac{6}{x=9}$. The only example I could get from the students was:

enter image description here

Which...dosn't help - how do you emulate this when downstairs can change? Thanks in advance.

Muselive
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  • This is really unclear. The expression in your title and body don't agree. What do you mean by modeling an expression? For example, how would you model $x$? – John Douma Aug 07 '22 at 00:24
  • Did you mean $\frac{6}{x-9}$? – jjagmath Aug 07 '22 at 00:35
  • Yes - this is exactly my confusion. Presumably the answer looks "something" like the attached image. I don't have more details. – Muselive Aug 10 '22 at 15:37

2 Answers2

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There are $x$ people in a life boat. There are $6$ gallons of drinking water in the boat. $9$ of the people get swept off the boat by a big wave and drown (sorry about that). How much drinking water is left for each of the remaining people if the water is to be divided equally among them?

paw88789
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You have to drive $6$ km, but you forgot to change the car's summer tires to winter tires, so you have to drive $9$ km per hour slower than usual as a safety precaution. How long will it take you to get to your destination?

polite proofs
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    Sure - can you translate this to a something like the attached image? – Muselive Aug 10 '22 at 15:38
  • @Muselive No, I don't see what the image (from your student) has to do with anything. Students can make up nonsense all the time. – polite proofs Aug 10 '22 at 15:46
  • True, but I've gotten 4 more since this post - all with the same question and no example on how to deal with downstairs changing. This is some kind of "new" way of teaching division I think. – Muselive Aug 10 '22 at 15:54
  • @Muselive Okay, I think I misunderstood at first. Is the "example" from the teacher, or an attempt at a solution by a student? In either case, what grade is this for? – polite proofs Aug 10 '22 at 16:36
  • Grade 9. The "example" is a solution to "model n/5", which is of course, a much nicer problem. – Muselive Aug 10 '22 at 19:04
  • @Muselive So your question is not to how “model” $\frac{6}{x-9}$ (or my answer would be acceptable), but rather draw a graphical illustration of it. – polite proofs Aug 10 '22 at 20:01