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Mathematics, 20.03.2020 08:06 avonsluv8809

Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant temperature of 230◦C. Being a mathematician, she knows that the temperature T of the pie after t minutes of baking will be given by T(t) = 230 − Ae−kt , where A and k are constants. After 18 minutes of baking she notices that the temperature of the pie is 138◦C, while after 36 minutes it is 184◦C. Determine the constants A and k.

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