Question

if a is inversely proportional to √b and a =2 when b=16 find an equation connecting a and b
option 1: √ b = 8/k
option 2: √ b= a/ k
option 3: a= 8/√b
option 4: a√b/k
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Answer 1

Step-by-step explanation:

a is inversely proportional to √b.

Therefore, a = k × 1/√b

Where, k is constant.

Given,

a = 2, b = 16

$2 = k \times \frac{1}{ \sqrt{16} } \\ 2 = k \times \frac{1}{4} \\ k = 8 \\ \\ a = \frac{8}{ \sqrt{b} }$