Question

If u is inversely proportional to v, and if u = 4 when v = 9, find u when v = 3
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Answer 1

Answer:

12

Step-by-step explanation:

Since, u and v are inversely proportional then

$u \infty \frac{1}{v} \\ u = \frac{k}{v} \\ uv = k$

Thus, using this process we have to solve the question.

Now, we have u1 = 4, v1 = 9 and u2 = ?, v2 = 3

$u1v1 = u2v2 \\ 4 \times 9 = u2 \times 3 \\ u2 = \frac{4 \times 9}{3} \\ u2 = 12$

Hence the answer is 12