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3

Part of 1972 Swedish Mathematical Competition

Problems(1)

oven temperature wanted, time related

Source: 1972 Swedish Mathematical Competition p3

3/26/2021
A steak temperature 5∘5^\circ is put into an oven. After 1515 minutes, it has temperature 45∘45^\circ. After another 1515 minutes it has temperature 77∘77^\circ. The oven is at a constant temperature. The steak changes temperature at a rate proportional to the difference between its temperature and that of the oven. Find the oven temperature.
algebra