Trouble Setting Up Equation for Weight Loss Over Time

  • Context: Undergrad 
  • Thread starter Thread starter ilikeintegrals
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SUMMARY

The discussion focuses on setting up an equation to calculate weight loss over time, considering constant exercise and calorie intake. The Base Metabolic Rate (BMR) is defined by the formula: BMR = 10*weight + 6.25*height - 5*age + 5. Weight loss (∆W) is calculated using the equation: ∆W = Initial weight - ((BMR + Exercise - Food intake) * ∆days) / 7700, where 7700 calories equate to 1 kg of weight loss. The user seeks assistance in applying these formulas correctly, particularly in relating age to the days in the weight loss equation.

PREREQUISITES
  • Understanding of Base Metabolic Rate (BMR) calculations
  • Familiarity with weight loss equations and calorie deficit concepts
  • Basic knowledge of algebra for manipulating equations
  • Awareness of the relationship between exercise, calorie intake, and weight loss
NEXT STEPS
  • Research the impact of varying exercise intensity on BMR calculations
  • Explore advanced weight loss modeling techniques using software tools
  • Learn about the effects of age on metabolism and weight loss
  • Investigate nutritional guidelines for maintaining a calorie deficit
USEFUL FOR

Individuals interested in weight management, fitness trainers, nutritionists, and anyone looking to understand the mathematical relationships between exercise, calorie intake, and weight loss over time.

ilikeintegrals
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I am trying to set up an equation to find weight loss over time where the amount of exercise and number of calories consumed is constant. I am having trouble with it. The base amount of calories that your body burns every day (BMR) is based on your current weight. BMR is the base metabolic rate and is given by:
BMR = 10*weight + 6.25*height -5*age + 5

Weight loss (∆W) is given by:
Initial weight - ((BMR + Exercise - Food intake)*∆days)/7700
Wi - ((BMR+E-C)×∆d)/7700

7700 is the calories in 1kg (just in case you were wondering). I am to assume that the calorie intake, the height and amount of exercise is constant. The age (in years) from BRM will be related to the days from the ∆W equation.
Help is appreciated.
 
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ilikeintegrals said:
I am having trouble with it.

What kind of trouble; you've listed all the information you wish to include, and relationships among the variables. Where's the sticking point? What information did you want to pull out?
 

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