which graph best represents the relationship ...

which graph best represents the relationship between volume and pressure? pressure volume pressure volume pressure volume pressure volume submit your answer

Answer

# Explanation: ## Step1: Recall Boyle's law Boyle's law states that for a given mass of gas at constant temperature, pressure $P$ and volume $V$ are inversely - proportional, i.e., $PV = k$ (where $k$ is a constant). ## Step2: Analyze the graph shape The equation $PV=k$ can be rewritten as $P=\frac{k}{V}$. The graph of a function of the form $y = \frac{a}{x}$ (where $a$ is a non - zero constant) is a hyperbola. When $x$ (volume) increases, $y$ (pressure) decreases and vice - versa. # Answer: The graph with a curved line sloping downwards from left to right (the third graph from the left) best represents the relationship between volume and pressure.