Question

Please answer the attached question by selecting of the the given answers.

Answer 1

C

Explanation:

Given that Q varies inversely as the square of p then the equation relating them is

Q =
`(k)/(p^2)` ← k is the constant of variation

To find k use the condition Q = 36 when p = 7

k = Qp² = 36 × 7² = 36 × 49 = 1764

Q =
`(1764)/(p^2)` ← equation of variation

When p = 6, then

Q =
`(1764)/(6^2)` =
`(1764)/(36)` = 49 → C