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

Algebra ->  Equations -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Since "y varies inversely as x", this means that y=k%2Fx. Because "y=14 when x=8", this means that we can plug those values in to get: 14=k%2F8. Multiply both sides by 8 to isolate k to get: k=14%2A8=112. So the constant k is k=112


So the inverse-variation equation is y=112%2Fx


To find the y values when x=10, 15, and 20, simply plug these values into 'x' of the equation y=112%2Fx and simplify.

Ex: When x=10, then y=112%2F10=56%2F5=11.2. So if x=10, then y=11.2


I'll let you do the rest.