Question

given that y varies inversely with x, if x = 7 and y = 4, what is y when x = 2?

Explanation:

Step1: Recall inverse variation formula

For inverse variation, $y = \frac{k}{x}$ where $k$ is the constant of variation.

Step2: Solve for constant $k$

Substitute $x=7$, $y=4$:
$4 = \frac{k}{7} \implies k = 4 \times 7 = 28$

Step3: Find $y$ when $x=2$

Use $k=28$ and $x=2$:
$y = \frac{28}{2} = 14$

Answer:

D. 14