As per the inversely proportional relationship between 'b' and 'c', the value of 'b' is 1.33 when 'c' is 9.
What is the inversely proportional of a variable?
"Inversely proportional variables are those in which one variable decreases with the increase in another variable and one variable increases with the decrease in another variable."
Given, 'b' varies inversely as [tex]\sqrt{c}[/tex].
Therefore, b ∝ [tex]\frac{1}{\sqrt{c}}[/tex]
Let 'x' is the proportional constant.
Therefore, [tex]b = \frac{x}{\sqrt{c}}[/tex]
⇒ [tex]x = b(\sqrt{c})[/tex]
When b = 1, c = 16.
Therefore, [tex]x = 1(\sqrt{16}) =[/tex] ± 4.
Therefore, when c = 9,
[tex]b = \frac{x}{\sqrt{c}} =[/tex] (± 4)/√9) = (± 4)/± 3) = 1.33
Learn more about the inversely proportional of a variable here: https://brainly.com/question/2315806
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