SOLUTION: Please help!!
The growth in the population of a certain rodent at a dump site fits the exponential function, A(t)=336e^(0.031t), where t is the number of years since 1963. Estimat
Algebra.Com
Question 151516: Please help!!
The growth in the population of a certain rodent at a dump site fits the exponential function, A(t)=336e^(0.031t), where t is the number of years since 1963. Estimate the population in the year 2000.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, subtract 1963 from 2000 to get . So in the year 2000, 37 years have elapsed since 1963. This means that in the year 2000, t=37.
Start with the given function.
Plug in
Multiply 0.031 and 37 to get 1.147
Raise "e" to the 1.147th power to get 3.14873
Multiply 336 and 3.14873 to get 1,057.97328
So in the year 2000, there will be approximately 1,058 rats. Note: I rounded to the nearest integer.
RELATED QUESTIONS
can someone please help me with this problem:
The growth in the population of a... (answered by midwood_trail)
The size P of a certain insect population at time...t...(in days) obeys the function P... (answered by josgarithmetic)
The count in a bacterial culture was 400 after 2 hours and 25,600 after 6 hours.
We (answered by jim_thompson5910)
The population (in millions) of a certain country follows the exponential growth model... (answered by ikleyn)
the probability that a trap will catch a rodent is 0.4 a) what is the probability that... (answered by stanbon)
The growth of a certain species (in millions) since 1970 closely fits the... (answered by josgarithmetic)
The size P of a certain insect population at time t (in days) obeys the function... (answered by mathmate)
The population of the United States has been changing at an exponential rate since the... (answered by stanbon)
A study is done on the population of a certain fish species in a lake. Suppose that the... (answered by josgarithmetic)