MathDB
oven temperature wanted, time related

Source: 1972 Swedish Mathematical Competition p3

March 26, 2021
algebra

Problem Statement

A steak temperature 55^\circ is put into an oven. After 1515 minutes, it has temperature 4545^\circ. After another 1515 minutes it has temperature 7777^\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.