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Suppose y varies inversely with x and that y=2 when x=8 What is an equation for this inverse variation?
A.y=8/2x
B. y= 2/8x
C. y= x/16
D. y= 16/x
Is the answer A?

Respuesta :

answer is 

D. y= 16/x

cause

y = k/x

2 = k/8

2(8) = k

k = 16

y=16/x

Answer:

D. y= 16/x

Step-by-step explanation:

If y varies inversely with x then it means that y decreases at a foxed rate for every increase in x. Introducing the constant of proportionality k, we can say that

y = k/x

where  y=2 when x=8 , then

2 = k/8

k = 16

hence y = kx becomes

y = 16/x

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