Additional Mathematics 4037/21 — May/June 2023

Variables $x$ and $y$ are such that when $\lg y$ is plotted against $\sqrt{x}$ a straight line passing through the points $(1, 5)$ and $(2.5, 8)$ is obtained. Show that $y = A \times b^{\sqrt{x}}$ where $A$ and $b$ are constants to be found.