Question

If g(n) varies inversely with n and g(n) = 8 when n = 3, find the value of n when g(n) = 6.

Answer 1

Answer: Last option.

Step-by-step explanation:

By definition, Inverse variation equations  have this form:

$y=\frac{k}{x}$

Where "k" is the constant of variation.

In this case, it is:

$g(n)=\frac{k}{n}$

Knowing that $g(n) = 8$ when $n = 3$, we can substitute values into the equation and solve for "k":

$8=\frac{k}{3}\\\\8*3=k\\\\k=24$

Therefore, we can find the value of "n" when $g(n) = 6$ by substiuting this value and the value of "k" into the equation and solving for "n". Then:

$6=\frac{24}{n}\\\\6n=24\\\\n=\frac{24}{6}\\\\n=4$