# The World Runs On Pipes

**Geometry**Level 3

\[ f(x) = 37 \sin \left( \dfrac{2\pi}{365}(x-101) \right) + 25, \]

where \(f(x)\) measures the temperature in Fahrenheit scale and \(x\) is the number of days counting from the beginning of the year. The maximum temperature will thus be in the \(k^\text{th}\) month of the year where \(k\) is \(\text{__________} \).