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

Transcribed Image Text:

t T 2 63.3 4 6 57.7 52.8 8 48.7 10 45.2