Question

Please answer the question in the picture, it’s very urgent!! No trolls please and twenty points given

Answer 1

P =
`(432)/(V)`

Explanation:

Given that P is inversely proportional to V then the equation relating them is

P =
`(k)/(V)` ← k is the constant of variation

To find k use the condition P = 18 when V = 24, that is

18 =
`(k)/(24)` ( multiply both sides by 24 )

432 = k

P =
`(432)/(V)` ← equation of variation

Answer 2

`P = (3)/(4)k`

Explanation:

Inverse Varation

`y=xk`

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Since the two quantities are named P and V, then we will replace x and y with P and V:

P = Vk

P=18 when V=24:

`18 = 24k`

`(18)/(24) = k`

`k = (3)/(4)`

Now we have the value of k, we can now express P in terms of V:

`P = (3)/(4)V`