Answer: In 2008 the population was 21,525,144
Step-by-step explanation:
You need to use the following formula for Exponential decay:
Where is the initial population in the year 0,
is the rate of decay and
is the time.
In this case, you can identify that:
Therefore, substituting these values into the formula for Exponential decay, you get:
Then, in 2008 the population was 21,525,144
The equation to show the depreciation at the end of x years is
Data;
This is an equation written to represent a word problem into mathematical statement and this is easier to solve.
To write a linear depreciation model for this machine would be
For number of years, the cost of the machine would become
This is properly written as
where x represents the number of years.
For example, after 5 years, the value of the machine would become
The value of the machine would be $500 at the end of the fifth year.
From the above, the equation to show the depreciation at the end of x years is f(x) = 1500 - 200x
Learn more on linear equations here;