Question

select the correct answer.

suppose \\(p\\) varies inversely as \\(q\\), and \\(p = 10\\) when \\(q = 17\\). what is the approximate value of \\(p\\) when \\(q = 49\\)?

28.82
3.47
170.00
83.30

Explanation:

Set up the inverse variation equation

$$ p = \frac{k}{q} \implies k = p \cdot q $$

Calculate the constant of variation

$$ k = 10 \cdot 17 = 170 $$

Solve for the unknown value of p

$$ p = \frac{170}{49} \approx 3.4694 $$

Answer:

• (A) 28.82
• (B) 3.47 (Correct answer)
• (C) 170.00
• (D) 83.30