Answer:

Step-by-step explanation:
We are given that
Initially the difference between the cake's and the cooler's temperature ,a=50 degree Celsius

We have to find the function that gives the temperature difference in degrees Celsius D(t).
We know that

Substitute the values


This is required function that gives the temperature difference in degrees Celsius.
The value of n in the given equation is -2.6
Step-by-step explanation:
Given,
10 = 
To find the value of n
10 = 
or, 10(3n+8) = 2 [ by cross multiplication]
or, 30n + 80 = 2
or, 30n = 2-80 [ taking the constant values in one side]
or, 30n = -78
or, n = 
or, n = -2.6
Step-by-step explanation:

This is an exponential function.
The starting population is: 10,000 and it doubles every 14 years.
In 42 years ( 42 : 14 = 3 ) the population doubles 3 times.
The equation ( exponential ) is :
y = 10,000 * 2^n
In this case: n = 3
y = 10,000 * 2 ^3 = 10,000 * 8 = 80,000
Answer: In 42 years the population of this town will be 80,000.
For the division part:

But I think your question differs than this..
Am I right?
as your options do not include 1