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

Answer:
[tex] P = \frac{3}{4}k [/tex]
Step-by-step explanation:
[tex] y=xk [/tex]
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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:
[tex] 18 = 24k [/tex]
[tex] \frac{18}{24} = k [/tex]
[tex] k = \frac{3}{4} [/tex]
Now we have the value of k, we can now express P in terms of V:
[tex] P = \frac{3}{4}V [/tex]
Answer:
P = [tex]\frac{432}{V}[/tex]
Step-by-step explanation:
Given that P is inversely proportional to V then the equation relating them is
P = [tex]\frac{k}{V}[/tex] ← k is the constant of variation
To find k use the condition P = 18 when V = 24, that is
18 = [tex]\frac{k}{24}[/tex] ( multiply both sides by 24 )
432 = k
P = [tex]\frac{432}{V}[/tex] ← equation of variation