The temperature of water in a kettle is www °C at time t t\,t minutes after boiling. A regression model fitted over the first 20 minutes is log10w=1.99−0.031t\log_{10}w=1.99-0.031tlog10w=1.99−0.031t.
Express the model in the form w=abtw=ab^tw=abt, giving a a\,a and b b\,b to 3 significant figures.
Interpret a a\,a in context.
Explain why the model is unlikely to be reliable after 60 minutes.