Learn Before
Calories Burned on a Treadmill: A Direct Variation Application
Problem: When Raoul runs on the treadmill at the gym, the number of calories he burns varies directly with the number of minutes he uses it. He burned 315 calories in 18 minutes.
(a) Find the equation relating and .
Step 1 — Write the direct variation formula using in place of and in place of :
Step 2 — Substitute the given values (, ):
Step 3 — Solve for : Divide both sides by :
Step 4 — Write the equation:
(b) Find the calories burned in 25 minutes.
Substitute into the equation:
Raoul would burn 437.5 calories if he used the treadmill for 25 minutes.
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Elementary Algebra @ OpenStax
Ch.8 Rational Expressions and Equations - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
Related
Direct Variation
Solving Direct Variation Problems
Finding the Direct Variation Equation Given When
Calories Burned on a Treadmill: A Direct Variation Application
Inverse Variation
Solving Inverse Variation Problems
Finding the Inverse Variation Equation Given When
Proportion
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Learn After
A gym's fitness tracking software uses the direct variation equation c = 17.5m to calculate the calories burned (c) based on the minutes spent on a treadmill (m). What is the mathematical term for the value 17.5 in this equation?
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General Equation for Caloric Burn Model
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Standardizing Fitness Metrics for Software Documentation
Standard Operating Procedure: Caloric Burn Modeling
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