Cooling of a cup of tea
Let's have a delicious cup of tea
The initial temperature of the tea is 75°C and the room temperature is 24°C. Sketch the curve that you think it models the cooling temperature of the tea
Is it linear? is it quadratic? Justify
These are the temperatures at the beginning and after 3, 6 and 9 minutes have passed
Sketch the points in these set of axes
Can you see any tendency here? Explain briefly
This is the curve which models the cooling the temperature of the cup of tea
What is the y-intercept?
Does it have any roots? Why/Why not?
This is the equation of the curve
y = 24 + 51e-0.106x
What is the 'e' number?
Now that you know that the formula is that one, with 'e' approx to 2.72 and using the formula
Find the temperatures after 15, 20 and 40 minutes Remember: y = 24 + 51e-0.106x
What would you think it happens if the room temperature is another one?
Explain