The function N =1053(1.23)^m or 1053(1.23)^m = N is an illustration of an exponential function
The deer on April 1, 2016
The function is given as:
N =1053(1.23)^m
On April 1, 2016; the value of m is:
m = 0
So, we have:
N =1053(1.23)^0
N = 1053
Hence, there are 1053 deers on April 1, 2016
The deer on May 1, 2016
The function is given as:
N =1053(1.23)^m
On April 1, 2016; the value of m is:
m = 1
So, we have:
N =1053(1.23)^1
N =1295
Hence, there are 1295 deers on May 1, 2016
The monthly growth rate
An exponential growth function is represented as:
y = a(1 + r)^x
Where r represents the growth rate
By comparison; the monthly growth rate (r) is calculated as:
1 + r = 1.23
Subtract 1 from both sides
r = 0.23
Express as percentage
r = 23%
Hence, the monthly growth rate is 23%
The yearly growth rate
We have the monthly growth rate to be 23%
There are 12 months in a year.
So, the yearly growth rate is:
y = 23%^12
Evaluate
y = 0.00022%
Hence, the yearly growth rate is 0.00022%
The weekly growth rate
We have the monthly growth rate to be 23%
There are 4 weeks in a months
So, the weekly growth rate is:
m = 23%^(1/4)
Evaluate
m = 69%
Hence, the weekly growth rate is 69%
Read more about exponential functions at:
https://brainly.com/question/11464095
