Math Problem Statement

Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 5x7 - 5× + 5. Complete parts a through d belo a. Find the average rate of change of profit as x changes from 3 to 5. per item

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Rate of Change

Formulas

Average rate of change formula: (P(b) - P(a)) / (b - a)
Quadratic function: P(x) = ax^2 + bx + c

Theorems

None specifically required, but the concept of average rate of change is based on slope in calculus.

Suitable Grade Level

Grades 10-12