A - B and when A -3- B -27If B -125- then find the value of A-A- 5B- 10C- 25D- 125

The correct option is A 5Given, A ∝√(B) nbsp; Let the nbsp;constant of variation be k. ⇒ A = k√(B) Given, at A = 3, B = 27. So, k = A/√(B) = 3/√(27) = 3/ ...

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Byju's Answer

Standard VIII

Mathematics

Variation

A ∝√ B and wh...

Question

$A \propto \sqrt[3]{B}$ and when A = 3, B = 27.
If B = 125, then find the value of A.

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Solution

The correct option is A 5
$Given, A \propto \sqrt[3]{B}$
Let the constant of variation be k.
$\Rightarrow A = k \sqrt[3]{B}$
Given, at A = 3, B = 27.
$So, k = \frac{A}{\sqrt[3]{B}} = \frac{3}{\sqrt[3]{27}} = \frac{3}{3} = 1.$
Hence, at B = 125, the value of A is given by:
$A = k \sqrt[3]{B} = (1) (\sqrt[3]{125}) = (1) (5) = 5$

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A∝3√B and when A = 3, B = 27. If B = 125, then find the value of A.

The correct option is A 5Given, A∝3√B Let the constant of variation be k. ⇒A=k3√B Given, at A = 3, B = 27. So, k=A3√B =33√27=33=1. Hence, at B = 125, the value of A is given by: A=k3√B=(1)(3√125)=(1)(5)=5

$A \propto \sqrt[3]{B}$ and when A = 3, B = 27.
If B = 125, then find the value of A.