Question

if y varies inversely as x, and y = 23 when x = 8, find y when x = 4.

Explanation:

Step1: Define inverse variation

$y = \frac{k}{x}$ where $k$ is constant.

Step2: Solve for constant $k$

Substitute $y=23, x=8$:
$23 = \frac{k}{8} \implies k = 23 \times 8 = 184$

Step3: Find $y$ when $x=4$

Substitute $k=184, x=4$:
$y = \frac{184}{4}$

Answer:

46