Solving real word situations

A) Determine an equation for the population with respect to the number of years after

2014

, assuming that the population increases at a constant rate.

Solution

The function will be of the form

p

=

a

r

n

, where

a

is the initial population,

r

is the rate of increase,

n

is the time in years and

p

is the population.

p

=

584

,

513

(

1.0002

)

n

b) Using this model, estimate the population of Wyoming in

17

years.

solution

Here,

n

=

17

.

p

=

584

,

513

(

1.002

)

17

p

=

604

,

708

c) Using this model, determine in how many years it will take for the population to exceed

600

,

000

.