Burn it all down

Suppose that the measured frequency of forest fires that burn down 100 km2\SI{100}{\kilo\meter\squared} is found to be 0.5 fires per year,\SI{0.5}{fires\ per\ year}, and that β\beta is known to be approximately 1.2.1.2.

What do you expect the frequency of forest fires of burn area 10000 km2\SI{10000}{\kilo\meter\squared} to be?

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