SOLUTION: y varies inversely as x. Write the appropriate inverse-variation equation, and find y for the given values of x. y=14 when x=8; x=values:10, 15, and 20

Question 252214: y varies inversely as x. Write the appropriate inverse-variation equation, and find y for the given values of x.
y=14 when x=8; x=values:10, 15, and 20
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since "y varies inversely as x", this means that . Because "y=14 when x=8", this means that we can plug those values in to get: . Multiply both sides by 8 to isolate k to get: . So the constant k is

So the inverse-variation equation is

To find the y values when x=10, 15, and 20, simply plug these values into 'x' of the equation and simplify.

Ex: When x=10, then . So if , then

I'll let you do the rest.
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