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V varies inversely with T and V=12 when T=6. Which equation shows this relationship
A)v= 2/T
B) V=72T
C)V=2T
D)v= 72/T

Respuesta :

Answer:

D

Step-by-step explanation:

Given V varies inversely as T, then the equation relating them is

V = [tex]\frac{k}{T}[/tex] ← k is the constant of variation

To find k use the condition, V = 12 when T = 6

k = VT = 12 × 6 = 72

V = [tex]\frac{72}{T}[/tex] ← equation of variation

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