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Determine the values of $A$ and $p$ correct to $2$ decimal places.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
The variables $x$ and $y$ are linked by the equation $y = Ae^{px}$, where $A$ and $p$ are constants. A plot of $\ln y$ against $x$ gives a straight line that goes through the points $(5, 3.17)$ and $(10, 4.77)$, as the diagram shows.