# Population of Southberg Town

Not what you're looking for?

The population of the town of Southberg can be modeled by the function:

P(t) = t^4 - 18t^3 + 77t^2 + 69t + 6405 for 0 < t < 20 where t is in years and t = 0 corresponds to the year 1991.

a) What was the population of the town in the year 2002?

b) What was the population of town in year 2011?

c) What was the instantaneous rate of change of the population of town in year 1996?

d) What was the instantaneous rate of change of the population in year 2011?

e) Use your previously stated answers to this problem to estimate the populate of Southberg in the year 2012.

##### Purchase this Solution

##### Solution Summary

This solution contains step-by-step calculations to determine the population in varying years, rate of change and estimation of future populations.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Probability Quiz

Some questions on probability

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.