Question

The number of algae y in a lake at any time is inversely proportional to the square root of the number x of fish in the lake at any time. Give an equation relating the two values.

Please help me guys, missed this one on my test and can't figure it out.

Answer 1

\[y=\sqrt{x}\] I think..

Answer 2

yeah thats what i put and she corrected me with: \[y=\frac{ k }{ \sqrt{x} }\] does that make sense to you?

Answer 3

It might, but what does the k stand for?

Answer 4

Yes that is the correct answer. Inverse means it's in the denominator.

Answer 5

see thats what im not sure of either, titanic do you know what the k is?

Answer 6

k is any constant. y times the square root of x always equals k.

Answer 7

Ah thats why.

Answer 8

ooh alright that makes sense now, thanks titanic!

Answer 9

im reworking all the problems on my test trying to figure them out so i may have some more posts in a bit

Answer 10

hanks guys

Answer 11

good luck @nsellers23

Answer 12

No problem. And One098 you understand too now right? I can explain further if needed

Answer 13

No, I'm good. Thanks. C:

Answer 14

Ok no problem

Answer 15

New Problem:
Find the inverse of \[f(x) = 2(1.01)^{t}\]

Answer 16

f(t) not f(x) sorry

Answer 17

@nsellers23 what grade are you in?

Answer 18

y=2(1.01)^t
t=2(1.01)^y
Solve for y
(t/2) = 1.01^y
log(t/2) = log(1.01)^y
log(t/2) = y*log(1.01)
\[y=\frac{\log{\frac{t}{2}}}{\log{1.01}} \]

Answer 19

I'm a sophmore in college, first time taking calculus for a computer science major.

Answer 20

Oh nice.

Answer 21

thanks i get that one now, i wasnt even close on my original attempt lol

Answer 22

No problem