Large Aquarium: When 5 m^3 water is added, fish density...

[Kenshin]

A large aquarium is used to house tropical fish at a popular tourist centre. When 5m³ of extra water is added to the aquarium, the average density of fish (fish per m³) is reduced by six. When another 5m³ of water is added, the fish density is reduced by another four. If the number of fish remains the same during the changes, find a function for the relationship between volume and density.

Could some one help me out?
If possible, have working out so i can understand

 

[stapel]

A large aquarium is used to house tropical fish at a popular tourist centre. When 5m³ of extra water is added to the aquarium, the average density of fish (fish per m³) is reduced by [six]. When another 5m³ of water is added, the fish density is reduced by another four. If the number of fish remains the same during the changes, find a function for the relationship between volume and density.

My gracious! Your homework is all over the place, isn't it! You have advanced probability (with gamma and hypergeometric functions), basic geometry (where you say you understand the trigonometry, but not how to draw straight lines), and now this elementary exercise. What sort of math class are you taking? :shock:

If possible, have working out so i can understand

Oh, dear; I hope this doesn't turn into another thread where the complete explanation, set-up, and instructions leave you confused, and you only "understand" after you're given the complete worked solution.

I'm not sure how you're supposed to approach this particular exercise. Since you're working in very advanced (graduate-level) probability and since you're comfortable with trigonometry (though not geometry), you should be able to use algebra to set this up. But there is no evidence that you have even tried that; instead, you have posted this to the "Arithmetic" (that is, pre-pre-algebra) category. But then the instructions say to create a "function", which is a topic covered in intermediate algebra. So.... I'm confused! :?

Please reply with a description of the course which generated this homework question, along with a complete listing of everything you've tried so far. This will give us some idea of how the solution for this exercise is probably supposed to be approached. :idea:

Thank you!

Eliz.

 

[Denis]

I presume sex = six :?:

v = initial volume, f = number of fish

f / v - f / (v + 5) = 6

f / (v + 5) - f / (v + 10) = 4

If you can't follow that, then only your teacher can help; can't teach here.

> If possible, have working out so i can understand
How do we know what it is "that you can understand"?

 

[stapel]

How do we know what it is "that you can understand"?

Hint: Soroban "explains" very well, in the original poster's opinion. :roll:

Eliz.