Math Problem Statement

Find the average rate of change of  r(n) over the interval 

Solution

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Math Problem Analysis

Mathematical Concepts

Linear functions
Slope-intercept form
Revenue calculations
Price-demand function
Domain of functions

Formulas

Price-demand function: p(n) = -(5/4000000)n + 749
Slope of the function: m_p = -5/4000000
Revenue function: r(n) = n * p(n)

Theorems

Linear function theorem
Revenue and demand relationship

Suitable Grade Level

Grades 10-12