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antonysheena97Antwan antonysheena97Antwan
  • 29-05-2016
  • Mathematics
Answered

A quantity h varies directly with w and inversely with p. If h = 2, w = 4, and p = 6. What is the constant of variation?

A1/2
B4/3
C3
D12

Verified Answer :

missirandiyosh missirandiyosh
  • 29-05-2016

answer is (C).

let's take the constant as K.

h= K. (w/p)

so; K= (hp ÷w)
K= (2x6) ÷ 4
K = 12÷4
K= 3

Answer Link
windyyork windyyork
  • 13-08-2019

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

h varies directly with w and inversely with p.

so, Mathematically, it is expressed as

\(h=\dfrac{kw}{p}\)

Here, h = 2

w = 4

p = 6.

So, it becomes,

\(2=\dfrac{4k}{6}\\\\2\times 6=4k\\\\12=4k\\\\\dfrac{12}{4}=k\\\\k=3\)

Hence, Option 'C' is correct.

Answer Link

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