## Instruction
Inspired by the provided math content extract, create high school-level math problem that combines concepts from at least two math subjects.

## Math Content
<EXTRACT>

## Guidelines 
[Problem]: Draft a self-contained math problem for high school students based on the given math content. The problem should require knowledge from one of these subjects: Algebra I and II, Pre-Calculus, Calculus, Geometry, Trigonometry, Statistics and Probability. Ensure the problem is fully text-based and solvable without images. Use concepts typically covered by the end of 11th grade.

[Solution]: Provide a detailed, step-by-step solution that demonstrates the mathematical reasoning from problem statement to conclusion, around 250-350 words long. Utilize LaTeX formatting for all mathematical expressions. Explain each step to reinforce the underlying math principles being applied.

## New Problem