Question

select the correct answer.

suppose \\(y\\) varies inversely as \\(x\\), and \\(y = 2\\) when \\(x = 28\\). what is the value of \\(y\\) when \\(x = 14\\)?

4
2
24
6

Explanation:

Set up the inverse variation equation

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

Calculate the constant of variation

$$ k = 28 \cdot 2 = 56 $$

Solve for the new value of y

$$ y = \frac{56}{14} = 4 $$

Answer:

• (A) 4 (Correct answer)
• (B) 2
• (C) 24
• (D) 6