The variables $x$ and $y$ are connected by the equation $a^y = kx$, where $k$ and $a$

Question

The variables $x$ and $y$ are connected by the equation $a^y = kx$, where $k$ and $a$ are constants. The straight line passes through the points $(0, 2)$ and $(3, 5)$ and these points are obtained by plotting $y$ against $\ln x$. Find the values of $a$ and $k$. Find the value of $y$ when $x = 0.2$.

Accepted Answer

(a) $a=e,\ k=e^2$. (b) $y\approx0.391$.

Linear Law - Predictions from Linearised Models

Linear Law - Predictions from Linearised Models

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