A cup of coffee is left to cool inside a room and its' cooling can be described by the function y = 856.75)*5 + 15 where x is time in minutes and Tis the temperature of
the coffee in degrees Celsius.
A)
Fill in the table below:
(3)
0
5
10
15
20
X (time)
T
(Temperature)
B)
What is the initial temperature of the coffee?
{2}
C)
Enter the function in your calculator and determine when the coffee will be at
50°C? 20°C?
D)
13:
What will the temperature of the coffee eventually cool to and why?

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

150.6

all i did was i multiplied 5.02 by 30