78.9k views
5 votes
If g(n) varies inversely with n and g(n)= 12 when n=2 then find the value of n when g(n)= 3 Round final answer to the tenths place. If answer is a whole number then put a zero in the tenths place before entering your answer.

User Ido Naveh
by
8.0k points

1 Answer

3 votes

An inverse function has this form:


\begin{gathered} y=(k)/(x),\text{ where k is a constant of variation.} \\ In\text{ this case is:} \\ g(n)=(k)/(n) \end{gathered}

We know that g(n) =12 when n=2, so g(2) = 12. Then


\begin{gathered} g(2)=(k)/(2)\text{ = 12} \\ k=12\cdot2 \\ k=24 \end{gathered}

So the general expression is


g(n)=(24)/(n)

Then to find the value on n when g(n)=3


\begin{gathered} g(n)=(24)/(n)=3 \\ n=(24)/(3) \\ n=8 \end{gathered}

So the answer is n=8.0

User Mohsenme
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories