The temperature, T C , of a hot drink, t minutes after it is made, can be
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The temperature, T °C , of a hot drink, t minutes after it is made, can be modelled by the equation T = 25 + ke−nt, Where k and n are constants. The table below shows experimental values of t and T.
a. Convert the equation to a form suitable for drawing a straight-line graph.
b. Draw the straight-line graph and use it to estimate the value of k and n.
c. Estimate:
i. The initial temperature of the drink
ii. The time taken for the temperature to reach 28°C
iii. The room temperature
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Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
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