Problema Solution

if y varies inversely as x, and y=11 when x=8, find y when x=10.

Answer provided by our tutors

Inverse Variation Formula:



y = k / x




 

 




Substitute 8 for x and 11 for y:  



11 = k / 8




 

 




Solve for k:

(Multiply both sides by 8)



88 = k




 

 




New equation:

(Substitute 88 for k)



y = 88 / x




 

 




Substitute 10 for x:



y = 88 / 10




 

 




Answer:



y = 8.8