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Finding the Direct Variation Equation Given When
Problem: If varies directly with and when , find the equation that relates and .
Step 1 — Write the direct variation formula:
Step 2 — Substitute the given values: Replace with and with :
Step 3 — Solve for the constant of variation: Divide both sides by :
Step 4 — Write the equation: Substitute back into the general formula:
The equation relating and is .
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Elementary Algebra @ OpenStax
Ch.8 Rational Expressions and Equations - Elementary Algebra @ OpenStax
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Learn After
A logistics coordinator needs to find the direct variation equation for shipping costs (y) based on package weight (x). If the cost is 20 dollars for an 8-pound package, arrange the following steps in the correct order to determine the equation.
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