## Math Problem Statement

A weight loss model for someone on a restrictive 30 week diet can be modeled by the function w(t) = (160t + 1200) / (t+6)

Where w(t) is the weight of the person after t weeks of beginning the diet program

determine w'(t)

determine w'(12) in context of the problem

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Calculus

Quotient Rule

Derivatives

### Formulas

Quotient Rule: (f(t)/g(t))' = (f'(t)g(t) - f(t)g'(t)) / (g(t))^2

Derivative of w(t) = (160t + 1200) / (t+6)

### Theorems

Quotient Rule

### Suitable Grade Level

Grades 11-12