Question

A quantity h varies directly with w and inversely with p. when w = 4 and p = 6, h = 2. what is the constant of variation? one-twelfth four-thirds 3 12

Answer 1

The value of the constant of variation is 3. The correct option is the third option- 3

Variation

From the question, we are to determine the constant of variation.

Let the constant of variation be k

From the give information,

A quantity h varies directly with w and inversely with p

That is,

$h \propto \frac{w}{p}$

Introducing the constant of variation, k, we get

$h = k\frac{w}{p}$

Also, from the give information,

w = 4

p = 6

h = 2

Putting the parameters into the relation, we get

$2 = k \times \frac{4}{6}$

$6\times 2 = 4k$

$k = \frac{6\times 2}{4}$

k = 3

Hence, the value of the constant of variation is 3. The correct option is the third option- 3

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Answer 2

Answer:

Answer is 3

Step-by-step explanation:

~Hope this helps!