Question

hw 11.1_inverse variation
score: 9/14 answered: 9/14
question 6
suppose f varies inversely with g and that f = 32 when g = 3. what is the value of f when g = 8?
f =

Explanation:

Step1: Define inverse variation formula

Inverse variation means $f = \frac{k}{g}$, where $k$ is the constant of variation.

Step2: Solve for constant $k$

Substitute $f=32$, $g=3$:
$32 = \frac{k}{3}$
$k = 32 \times 3 = 96$

Step3: Find $f$ when $g=8$

Substitute $k=96$, $g=8$ into $f = \frac{k}{g}$:
$f = \frac{96}{8}$

Answer:

12