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?

answer is 

y = k/x

2 = k/8

2(8) = k

k = 16

y=16/x

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

step-by-step explanation:

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