Question

Solving real word situations

Answer 1

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
.