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Finding the Inverse Variation Equation Given When
Problem: If varies inversely with and when , find the equation that relates and .
Step 1 — Write the inverse variation formula:
Step 2 — Substitute the given values: Replace with and with :
Step 3 — Solve for the constant of variation: Multiply both sides by :
Step 4 — Write the equation: Substitute back into the general formula:
The equation relating and is .
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Ch.8 Rational Expressions and Equations - Elementary Algebra @ OpenStax
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Learn After
A facility manager determines that the time (y) in hours required to complete a maintenance check varies inversely with the number of technicians (x) available. If the check takes 20 hours when 8 technicians are assigned, which equation represents this relationship?
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