The temperature-volume relationship shown in the graph in the lesson represents: an inverse hyperbolic function a direct linear function an inverse linear function a direct extrapolated function

The temperature-volume relationship in the context of gases is typically described by Charles's Law, which states that the volume of a gas is directly proportional to its temperature when pressure is held constant. This relationship can be represented as:<br /><br />\[ V \propto T \]<br /><br />or<br /><br />\[ V = kT \]<br /><br />where \( V \) is the volume, \( T \) is the temperature, and \( k \) is a constant.<br /><br />This relationship is a direct linear function, meaning that if you plot volume against temperature on a graph, you should see a straight line passing through the origin (assuming temperature is measured in Kelvin).<br /><br />Therefore, the correct answer is:<br /><br />a direct linear function