The temperature, T C, of a cup of tea is given by T = 55 e t/8
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The temperature, T °C, of a cup of tea is given by T = 55 e−t/8 + 20 t ≥ 0 where t is the time in minutes since measurements began.
a. Briefly explain why t ≥ 0.
b. State the starting temperature of the cup of tea.
c. Find the time at which the temperature of the tea is 50°C, giving your answer to the nearest minute.
d. By sketching a graph or otherwise, explain why the temperature of the tea will never fall below 20 °C.
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Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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