SOLUTION: can someone please help me with this problem: The growth in the population of a certain rodent at a dump site fits the exponential funciton A(t) = 336e^0.031t, where t is the nu

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can someone please help me with this problem: The growth in the population of a certain rodent at a dump site fits the exponential funciton A(t) = 336e^0.031t, where t is the nu      Log On


   

Question 170427: can someone please help me with this problem:
The growth in the population of a certain rodent at a dump site fits the exponential funciton A(t) = 336e^0.031t, where t is the number of years since 1963. Estimate the population in the year 2000.
a. 529
b. 1058
c. 1091
d. 347
Answer by midwood_trail(310) About Me  (Show Source):
You can put this solution on YOUR website!
Here is a tip:
Subtract 1963 from 2000.
The answer will be the value of t in terms of years.
Then plug the value of t into the equation given to you and simplify using your calculator.
Is this clear?
==============
I got your e-mail.
Here is your solution:
2000 - 1963 = 37
So, let t = 37
A(37) = 336e^0.031(37)
A(37) = 336e^(1.147)
A(37) = 336 times 3.148732529
A(37) = 1057.974129744
We round the decimal number 1057.974129744 to the nearest ones place and get 1058.
So, the answer is choice (b).
Got it?