How this calculation works
Find the constant of variation and predict a new value when one variable acts directly and another inversely.
If y=kx/z, then k=yz/xA worked example
The observation (x,z,y)=(6,3,10) gives k=5. The new pair (8,4) also gives y=10.
Good to know
The same proportionality constant must apply to both situations.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Find the constant of variation and predict a new value when one variable acts directly and another inversely.
The primary result is labeled “Predicted y”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The same proportionality constant must apply to both situations.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
The observation (x,z,y)=(6,3,10) gives k=5. The new pair (8,4) also gives y=10.
Which rule does this calculator apply?
If y=kx/z, then k=yz/x