Paper 1 · graphs and exponentials

If $x$ and $y$ are related by the equation $y = \exp(-c/x)$ , where c is a constant, which graph represents a straight line?

y

against

x

\log_e y

against

\log_e x

\log_e y

against

x

\log_e y

against

x^{-1}

Explanation: Taking ln:

\ln y = -c/x = -c\,x^{-1}

, so a plot of

\ln y

against

x^{-1}

is a straight line through the origin.

ZIMSEC Physics Paper 1, June 2004, Q2

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